Business Statistics In Practice, 3rd Canadian Edition By Bruce – Test Bank

 

 

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Sample Test

c3

Student: ___________________________________________________________________________

1.    A contingency table is a tabular summary of probabilities concerning two sets of complementary events.

True    False

 

2.    An event is a collection of sample space outcomes.

True    False

 

3.    Two events are independent if the probability of one event is influenced by whether or not the other event occurs.

True    False

 

4.    Mutually exclusive events have a nonempty intersection.

True    False

 

5.    A subjective probability is a probability assessment that is based on experience, intuitive judgment, or expertise.

True    False

 

6.    The probability of an event is the sum of the probabilities of the sample space outcomes that correspond to the event.

True    False

 

7.    If events A and B are mutually exclusive, then P( A | B ) is always equal to zero.

True    False

 

8.    If events A and B are independent, then P( A | B ) is always equal to zero.

True    False

 

9.    If events A and B are mutually exclusive, then P(A B) is always equal to zero.

True    False

 

10.  Events that have no sample space outcomes in common, and, therefore cannot occur simultaneously are referred to as independent events.

True    False

 

11.  Two mutually exclusive events having positive probabilities are ___________ dependent.

12.  always

13.  sometimes

14.  never

 

12.  ___________________ is a measure of the chance that an uncertain event will occur.

13.  A random experiment

14.  The sample space

15.  Probability

16.  A complement

17.  A population

 

13.  A manager has just received the expense checks for six of her employees. She randomly distributes the checks to the six employees. What is the probability that exactly five of them will receive the correct checks (checks with the correct names)?

14.  1

15.  1/2

16.  1/6

17.  0

18.  1/3

 

14.  In which of the following are the two events A and B, always independent?

15.  A and B are mutually exclusive.

16.  The probability of event A is not influenced by the probability of event B.

17.  The intersection of A and B is zero.

18.  P(A | B) = P(B).

19.  P(A B) = 0.

 

15.  If two events are independent, we can _____ their probabilities to determine the intersection probability.

16.  divide

17.  add

18.  multiply

19.  subtract

 

16.  Events that have no sample space outcomes in common, and therefore, cannot occur simultaneously are _____.

17.  independent

18.  mutually exclusive

19.  intersections

20.  unions

21.  dependent

 

17.  If events A and B are independent, then the probability of simultaneous occurrence of event A and event B can be found with:

18.  P(A) P(B)

19.  P(A) P(A | B)

20.  P(A) – P(A | B)

21.  P(A) + P(B)

22.  P(A) + P(B) – P(A B)

 

18.  The set of all possible experimental outcomes is called a(n) _____.

19.  sample space

20.  event

21.  experiment

22.  probability

23.  strata

 

19.  A(n) ____________ is the probability that one event will occur given that we know that another event already has occurred.

20.  sample space outcome

21.  subjective Probability

22.  complement of events

23.  long-run relative frequency

24.  conditional probability

 

20.  The _______ of two events A and B is another event that consists of the sample space outcomes belonging to either event A or event B, or both events A and B.

21.  complement

22.  union

23.  intersection

24.  conditional probability

 

21.  If P(B) > 0 and events A and B are independent, then:

22.  P(A) = P(B)

23.  P(A | B) = P(A)

24.  P(A B) = 0

25.  P(A B) = P(A) P(B A)

26.  P(A) + P(B) = 0

 

22.  P(A B) = P(A) + P(B) – P(A B) represents the formula for the

23.  conditional probability.

24.  addition rule.

25.  addition rule for two mutually exclusive events.

26.  multiplication rule.

27.  subtraction theorem.

 

23.  The management believes that the weather conditions significantly affect the level of demand. 48 monthly sales reports are randomly selected. These monthly sales reports showed 15 months with high demand, 28 months with medium demand, and 5 months with low demand. 12 of the 15 months with high demand had favorable weather conditions. 14 of the 28 months with medium demand had favorable weather conditions. Only 1 of the 5 months with low demand had favorable weather conditions. What is the probability that weather conditions are poor, given that the demand is high?

24.  2

25.  5

26.  8

27.  25

28.  75

 

24.  The management believes that the weather conditions significantly impact the level of demand and the estimated probabilities of poor weather conditions given different levels of demand is presented below.

 

 

 

P(High) = 15/48, P(Medium) = 28/48, P(Low) = 5/48

What is the probability of high demand given that the weather conditions are poor?

1.    06

2.    44

3.    1429

4.    12

5.    1818

 

An automobile insurance company is in the process of reviewing its policies. Currently drivers under the age of 25 have to pay a certain premium. The company is considering increasing the value of the premium charged to drivers under 25. According to company records, 35% of the insured drivers are under the age of 25. The company records also show that 280 of the 700 insured drivers under the age of 25 had been involved in at least one automobile accident. On the other hand, only 130 of the 1300 insured drivers 25 years or older had been involved in at least one automobile accident.

 

25.  An accident has just been reported. What is the probability that the insured driver is under the age of 25?

26.  0.35

27.  0.205

28.  0.14

29.  0.683

30.  0.4

 

26.  What is the probability that an insured driver of any age will be involved in an accident?

27.  0.35

28.  0.205

29.  0.65

30.  0.983

31.  0.795

 

27.  A pharmaceutical company manufacturing pregnancy test kits wants to determine the probability of a woman not being pregnant when the test results indicate pregnancy. It is estimated that the probability of pregnancy among potential users of the kit is 10%. According to the company laboratory test results, 1 out of 100 non-pregnant women tested pregnant (false positive). On the other hand, 1 out of 200 pregnant women tested non-pregnant (false negative). A woman has just used the pregnancy test kit manufactured by the company and the results showed pregnancy. What is the probability that she is not pregnant?

28.  0.9

29.  0.009

30.  0.083

31.  0.917

32.  0.1085

 

28.  A pharmaceutical company manufacturing pregnancy test kits wants to determine the probability of a woman actually being pregnant when the test results indicate that she is not pregnant. It is estimated that the probability of pregnancy among potential users of the kit is 10%. According to the company laboratory test results, 1 out of 100 non-pregnant women tested pregnant (false positive). On the other hand, 1 out of 200 pregnant women tested non-pregnant (false negative). A woman has just used the pregnancy test kit manufactured by the company and the results showed that she is not pregnant. What is the probability that she is pregnant?

29.  0.01

30.  0.009

31.  0.0005

32.  0.083

33.  0.00056

 

29.  What is the probability that any two people chosen at random were born on the same day of the week?

30.  286

31.  067

32.  007

33.  368

34.  143

 

30.  A machine is made up of 3 components: an upper part, a mid part, and a lower part. The machine is then assembled. 5 percent of the upper parts are defective; 4 percent of the mid parts are defective; 1 percent of the lower parts are defective. Assuming that the parts function independently of each other, what is the probability that a machine is non-defective?

31.  8330

32.  7265

33.  9029

34.  9815

35.  8902

 

31.  In a large organization, 55% of all employees are female, 25% of the employees have a business degree, and 40% of all males have a business degree. What is the percentage of employees who are female with a business degree?

32.  2%

33.  5%

34.  7%

35.  9%

36.  11%

 

32.  In a large organization, 55% of all employees are female, 25% of the employees have a business degree, and 40% of all males have a business degree. What is the probability that one randomly selected employee will be either a female or have a business degree?

33.  0.29

34.  0.41

35.  0.67

36.  0.73

37.  0.83

 

33.  In a large organization, 55% of all employees are female, 25% of the employees have a business degree, and 40% of all males have a business degree. What is the probability that an employee has a business degree given that the employee is a female?

34.  0.127

35.  0.355

36.  0.250

37.  0.465

38.  0.282

 

34.  A group has 12 men and 4 women. If 3 people are selected at random from the group, what is the probability that they are all men?

35.  0.122

36.  0.393

37.  0.544

38.  0.287

39.  0.621

 

35.  Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. One item is selected at random from each container. What is the probability that exactly one of the two items is defective?

36.  0.25

37.  0.275

38.  0.325

39.  0.475

40.  0.575

 

36.  In a study of chain saw injuries, 57% involved arms or hands. If three different chain saw injury cases are randomly selected, what is the probability that they all involved arms or hands?

37.  0.002

38.  0.185

39.  0.263

40.  0.334

41.  0.481

 

37.  Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25% for University A and 40% for University B. What is the probability that Joe will be accepted at both universities? You may assume that the universities make their decisions independently of one another.

38.  0.02

39.  0.05

40.  0.10

41.  0.13

42.  0.25

 

38.  Past company records demonstrate that 85% of new hires successfully complete their probation period. Suppose 3 newly hired individuals are randomly selected. If new hires successfully complete their probation period independently of each other, what is the probability that all will complete the probation period?

39.  487

40.  553

41.  614

42.  732

43.  850

 

39.  If A and B are independent events, and P(A) = .2, and P(B) = .7, then P(A B) = _____.

40.  91

41.  47

42.  86

43.  14Error! Hyperlink reference not valid.

44.  76

 

40.  Peter is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25% for University A and 40% for University B. What is the probability that Peter will not be accepted at either university? You may assume that the universities make their decisions independently of one another.

41.  15

42.  25

43.  35

44.  45

45.  55

 

41.  What is the probability of winning four games in a row, if the probability of winning each individual game is 1/2, independent of each other game?

42.  1/4

43.  1/6

44.  1/8

45.  1/12

46.  1/16

 

42.  If events A and B are mutually exclusive, then P(A | B) = _____.

43.  00

44.  13

45.  22

46.  50

47.  99

 

43.  Susan is considering pursuing an MBA degree. She has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25% for University A and 40% for University B. What is the probability that Susan will be accepted at University A and rejected at University B? You may assume that the universities make their decisions independently of one another.

44.  15

45.  03

46.  19

47.  22

48.  35

 

44.  Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. One item is selected at random from each container. What is the probability that both items are not defective?

45.  003

46.  098

47.  246

48.  375

49.  539

 

45.  Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. One item is selected at random from each container. What is the probability that the item from container one is defective and the item from container 2 is not defective?

46.  225

47.  006

48.  399

49.  521

50.  178

 

46.  If you roll a pair of fair dice, what is the probability that the number of dots on the two dice will sum to seven?

47.  1/16

48.  1/8

49.  1/6

50.  1/4

51.  1/2

 

47.  If you roll a pair of fair dice, what is the probability that the number of dots on the two dice will sum to nine or higher?

48.  0003

49.  0095

50.  1334

51.  2778

52.  3446

 

48.  If you roll a fair die, what is the probability that an even number of dots appear?

49.  05

50.  20

51.  25

52.  50

53.  75

 

49.  If you draw a card from a standard deck of 52 cards, what is the probability that you obtain a King?

50.  1/52

51.  1/26

52.  1/21

53.  1/13

54.  1/4

 

50.  Consider the experiment of tossing four coins and observing the face of the coin, heads or tails, that appears each time. How many outcomes are in the sample space?

51.  2

52.  4

53.  6

54.  12

55.  16

 

51.  What is the probability that we observe of at least one tail in the toss of three fair coins?

52.  7/8

53.  1/2

54.  3/8

55.  6/8

56.  1/8

 

52.  A lot contains 12 items, 4 of which are defective. If three items are drawn at random from the lot, what is the probability that none of them are defective?

53.  6667

54.  6363

55.  6000

56.  3003

57.  2545

 

53.  A person is dealt 5 cards from a standard deck of 52 cards. What is the probability that all 5 cards are clubs?

54.  0004951

55.  0002505

56.  0149980

57.  0253533

58.  0444967

 

54.  A group has 12 men and 4 women. If 3 people are selected at random from the group, what is the probability that they are all men?

55.  27

56.  39

57.  41

58.  52

59.  69

 

55.  Suppose that you believe that the probability you will get a grade of B or better in Introduction to Finance is 0.6, and the probability that you will get a grade of B or better in Introduction to Accounting is 0.5. If these events are independent, what is the probability that you will be a grade of B or better in both courses?

56.  03

57.  25

58.  30

59.  43

60.  50

 

56.  The _____ is the set of all of the distinct possible outcomes of an experiment.

________________________________________

 

57.  The _____ of an event is a number that measures the likelihood that an event will occur when an experiment is carried out.

________________________________________

 

58.  When the probability of one event is influenced by whether or not another event occurs, the events are said to be _____.

________________________________________

 

59.  A process of observation that has an uncertain outcome is referred to as a(n) _____.

________________________________________

 

60.  When the probability of one event is not influenced by whether or not another event occurs, the events are said to be _____.

________________________________________

 

61.  A probability may be interpreted as a long-run _____ frequency.

________________________________________

 

62.  If events A and B are independent, then P(A | B) is equal to _____.

________________________________________

 

63.  The simultaneous occurrence of events A and B is represented by the notation: _______.

________________________________________

 

64.  A(n) _______________ probability is a probability assessment that is based on experience, intuitive judgment, or expertise.

________________________________________

 

65.  A(n) ______________ is a collection of sample space outcomes.

________________________________________

 

66.  Probabilities must be assigned to experimental outcomes so that the probabilities of all the experimental outcomes must add up to ___.

________________________________________

 

67.  Probabilities must be assigned to experimental outcomes so that the probability assigned to each experimental outcome must be between the values ____ and ____ inclusive.

________________________________________

 

68.  The __________ of event A consists of all sample space outcomes that do not correspond to the occurrence of event A.

________________________________________

 

69.  The _______ of two events A and B is another event that consists of the sample space outcomes belonging to either event A or event B, or both events A and B.

________________________________________

 

70.  The _______ of two events A and B is the event that consists of the sample space outcomes belonging to both event A and event B.

________________________________________

 

71.  __________________ statistics is an area of statistics that uses Bayes’ theorem to update prior belief about a probability or population parameter to a posterior belief.

________________________________________

 

72.  In the application of Bayes’ theorem the sample information is combined with prior probabilities to obtain ___________________ probabilities.

________________________________________

 

73.  If you roll a pair of fair dice, what is the probability that the number of dots on the two dice will sum to five?

 

 

 

 

 

 

 

74.  If you roll a pair of fair dice, what is the probability that the number of dots on the two dice will sum to eight or higher?

 

 

 

 

 

 

 

75.  If you roll a fair die, what is the probability that at least 5 dots appear?

 

 

 

 

 

 

 

76.  If you draw a card from a standard deck of 52 cards, what is the probability that you obtain a face card (i.e. a Jack, Queen, or King)?

 

 

 

 

 

 

 

77.  Consider the experiment of rolling three dice and observing the number of dots that appear each time. How many outcomes are in the sample space?

 

 

 

 

 

 

 

78.  Consider the experiment of rolling three dice and observing the number of dots that appear each time. What is the probability that at least one of the three dice shows an even number of dots?

 

 

 

 

 

 

 

79.  A lot contains 10 items, 3 of which are defective. If three items are drawn at random from the lot, what is the probability that none of them are defective?

 

 

 

 

 

 

 

80.  A person is dealt 4 cards from a deck of 52 cards. What is the probability they are all clubs?

 

 

 

 

 

 

 

81.  A group has 10 men and 6 women. If 3 people are selected at random from the group, what is the probability that they are all men?

 

 

 

 

 

 

 

Container 1 has 10 items, 4 of which are defective. Container 2 has 7 items, 3 of which are defective. One item is selected at random from each container.

 

82.  What is the probability that both items are not defective?

 

 

 

 

 

 

 

83.  What is the probability that the item from container one is defective and the item from container 2 is not defective?

 

 

 

 

 

 

 

84.  What is the probability that exactly one of the items is defective?

 

 

 

 

 

 

 

85.  A fair coin is tossed 6 times. What is the probability that at least one head occurs?

 

 

 

 

 

 

 

86.  Suppose P(A) = .45, P(B) = .20, P(C) = .35, P(E | A) = .10, P(E | B) = .05, and P(E | C) = 0. What is P(E)?

 

 

 

 

 

 

 

87.  Suppose P(A) = .45, P(B) = .20, P(C) = .35, P(E | A) = .10, P(E | B) = .05, and P(E | C) = 0. What is P(A | E)?

 

 

 

 

 

 

 

88.  Suppose P(A) = .45, P(B) = .20, P(C) = .35, P(E | A) = .10, P(E | B) = .05, and P(E | C) = 0. What is P(B | E)?

 

 

 

 

 

 

 

89.  Suppose P(A) = .45, P(B) = .20, P(C) = .35, P(E | A) = .10, P(E | B) = .05, and P(E | C) = 0. What is P (C | E)?

 

 

 

 

 

 

 

90.  Suppose that you draw one card from a standard deck of 52 cards. If the card you draw is a face card, what is the probability it is also a red card?

 

 

 

 

 

 

 

91.  Suppose that you draw one card from a standard deck of 52 cards. If the card you draw is a red card, what is the probability it is also a face card?

 

 

 

 

 

 

 

92.  A machine is made up of 3 components: an upper part, a mid part, and a lower part. The machine is then assembled. 3 percent of the upper parts are defective; 2 percent of the mid parts are defective; 5 percent of the lower parts are defective. Assuming that the parts function independently of each other, what is the probability that a machine is non-defective?

 

 

 

 

 

 

 

93.  A machine is produced by a sequence of operations. Typically one defective machine is produced per 1000 parts. Assuming that defects occur independently, what is the probability of two consecutively produced machines being non-defective?

 

 

 

 

 

 

 

94.  A pair of fair dice is thrown. What is the probability that one of the faces is a 3 given that the sum of the two faces is 9?

 

 

 

 

 

 

 

95.  A card is drawn from a standard deck of 52 cards. What is the probability the card is an ace given that it is a club?

 

 

 

 

 

 

 

96.  A card is drawn from a standard deck of 52 cards. Given that a face card is drawn, what is the probability it will be a king?

 

 

 

 

 

 

 

97.  Independently a fair coin is tossed, a card is drawn from a standard deck of 52 cards, and a fair die is thrown. What is the probability of observing a head on the coin, an ace on the card, and a five on the die?

 

 

 

 

 

 

 

98.  A family has two children. What is the probability that both are girls, given that at least one is a girl?

 

 

 

 

 

 

 

99.  What is the probability of winning three games in a row, if the probability of winning each individual game is 1/2, independent of each other game?

 

 

 

 

 

 

 

At a large school, 70 percent of the students are women and 50 percent of the students receive a grade of C. 25 percent of the students are neither female nor C students. Use the following contingency table.

 

 

 

100.          What is the probability that a student is female and a C student?

 

 

 

 

 

 

 

101.          What is the probability that a student is male and not a C student?

 

 

 

 

 

 

 

102.          If the student is male, what is the probability he is a C student?

 

 

 

 

 

 

 

103.          If the student has received a grade of C, what is the probability that he is male?

 

 

 

 

 

 

 

104.          If the student has received a grade of C, what is the probability that she is female?

 

 

 

 

 

 

 

Two percent (2%) of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy cigars. Use the following contingency table.

 

 

 

105.          What is the probability a customer buys beer?

 

 

 

 

 

 

 

106.          What is the probability a customer neither buys beer nor buys cigars?

 

 

 

 

 

 

 

An urn contains five white, three red, and four black balls. Three are drawn at random without replacement.

 

107.          What is the probability that no ball is red?

 

 

 

 

 

 

 

108.          What is the probability that all balls are the same colour?

 

 

 

 

 

 

 

109.          What is the probability that any two people chosen at random were born on a Monday?

 

 

 

 

 

 

 

110.          A letter is drawn from the alphabet of 26 letters. What is the probability that the letter drawn is a vowel?

 

 

 

 

 

 

 

111.          Consider an experiment where you toss a coin three times and observe the face of the coin, heads or tails, on each toss. What is the sample space for this experiment?

 

 

 

 

 

 

 

112.          How must probabilities be assigned to experimental outcomes?

 

 

 

 

 

 

 

113.          If A and B are independent events, P(A) = .3, and P(B) = .6, determine P(A B).

 

 

 

 

 

 

 

114.          If events A and B are mutually exclusive, calculate P(A | B).

 

 

 

 

 

 

 

115.          What is the probability of rolling a six with a fair die five times in a row?

 

 

 

 

 

 

 

116.          If a product is made using five individual components, and the product meets specifications with probability.98, what is the probability of an individual component meeting specifications? You may assume that all five components have the same probability of meeting specifications independently of each other.

 

 

 

 

 

 

 

117.          If P(A | B) = .2 and P(B) = .8, determine the probability of the intersection of events A and B.

 

 

 

 

 

 

 

118.          If P(A B ) = .3 and P(A | B) = .9, find P(B).

 

 

 

 

 

 

 

 

 

Employees of a local university have been classified according to gender and job type.

 

119.          If an employee is selected at random what is the probability that the employee is male?

 

 

 

 

 

 

 

120.          If an employee is selected at random what is the probability that the employee is male and salaried staff?

 

 

 

 

 

 

 

121.          If an employee is selected at random what is the probability that the employee is female given that the employee is a salaried member of staff?

 

 

 

 

 

 

 

122.          If an employee is selected at random what is the probability that the employee is female or works as a member of the faculty?

 

 

 

 

 

 

 

123.          If an employee is selected at random what is the probability that the employee is female or works as an hourly staff member?

 

 

 

 

 

 

 

124.          If an employee is selected at random what is the probability that the employee is a member of the hourly staff given that the employee is female?

 

 

 

 

 

 

 

125.          If an employee is selected at random what is the probability that the employee is a member of the faculty?

 

 

 

 

 

 

 

126.          Are gender and type of job mutually exclusive? Explain with probabilities.

 

 

 

 

 

 

 

127.          Are gender and type of job statistically independent? Explain with probabilities.

 

 

 

 

 

 

 

 

 

Four employees who work as drive-through attendees at a local fast food restaurant are being evaluated. As a part of quality improvement initiative and employee evaluation, these workers were observed over three days. One of the statistics collected is the percentage of time employee forgets to include a napkin in the bag. Related information is given in the table above.

 

128.          What is the probability that Cheryl prepared your dinner and forgot to include a napkin?

 

 

 

 

 

 

 

129.          What is the probability that there is not a napkin included for a given order?

 

 

 

 

 

 

 

130.          You just purchased a dinner and found that there is no napkin in your bag, what is the probability that Cheryl has prepared your order?

 

 

 

 

 

 

 

131.          You just purchased a dinner and found that there is no napkin in your bag, what is the probability that Jan has prepared your order.

 

 

 

 

 

 

 

Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 30% for University A and 20% for University B. You may assume that the universities make their decisions independently of one another.

 

132.          What is the probability that Joe will be accepted at both universities?

 

 

 

 

 

 

 

133.          What is the probability that Joe will be accepted at University A and rejected at University B?

 

 

 

 

 

 

 

134.          What is the probability that Joe will not be accepted at either university?

 

 

 

 

 

 

 

135.          What is the probability that Joe will be accepted at least by one of the two universities?

 

 

 

 

 

 

 

136.          What is the probability that Joe will be accepted at one, and only one university?

 

 

 

 

 

 

 

137.          Is Joe being accepted at University A and at University B mutually exclusive? Show with probabilities.

 

 

 

 

 

 

 

In a report on high school graduation, it was stated that 85% of high school students graduate. Suppose 3 high school students are randomly selected from different schools.

 

138.          What is the probability that all three students graduate?

 

 

 

 

 

 

 

139.          What is the probability that exactly one of the three students graduate?

 

 

 

 

 

 

 

140.          What is the probability that none of the three students graduate?

 

 

 

 

 

 

 

It is very common for a television series to draw a large audience for special events or for cliff-hanging story lines. Suppose that on one of these occasions, the special show drew viewers from 38.2% of all TV-viewing households. Suppose that three TV-viewing households are randomly selected.

 

141.          What is the probability that all three households viewed this special show?

 

 

 

 

 

 

 

142.          What is the probability that none of the three households viewed this special show?

 

 

 

 

 

 

 

143.          What is the probability that exactly one of the three households viewed the special show?

 

 

 

 

 

 

 

A survey is made in a neighborhood of 80 voters. 65 were Liberal and 15 were Conservative (none claimed to support another political party). Of the Liberals, 35 are women, while 5 of the Conservatives are women. One subject from the group is randomly selected.

 

144.          What is the probability that the individual is either a woman or a Liberal?

 

 

 

 

 

 

 

145.          What is the probability that the individual is a male Conservative?

 

 

 

 

 

 

 

146.          What is the probability that the individual is a Liberal or a Conservative?

 

 

 

 

 

 

 

Owners are asked to evaluate their experiences in buying a new car during the past twelve months. When surveys were analyzed the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): BMW, Honda, and GM.

 

147.          List all possible sets of rankings for these three dealers:

 

 

 

 

 

 

 

148.          Assuming that each set of rankings is equally likely, what is the probability that

 

(a) Owners ranked GM first?

(b) Owners ranked GM third?

(c) Owners ranked GM first and Honda second?

 

 

 

 

 

 

 

149.          In a study of car accidents, 64% involved neck injuries. If three different car accident records are randomly selected, find the probability that they all involved neck injuries?

 

 

 

 

 

 

 

In a local survey, 100 citizens indicated their opinions on a revision to a local land use plan. Of the 62 favorable responses, there were 40 males. Of the 38 unfavorable responses, there were 15 males. One citizen is randomly selected.

 

150.          What is the probability that the citizen is female or has an unfavorable opinion?

 

 

 

 

 

 

 

151.          What is the probability that the citizen is male and has a favorable opinion