# The probability of selecting 2 baseball players and 3 basketball players for an intermural competition

68. Which of the following conditions is not a condition for  the hypergeometric distribution?

a) the probability of success is the same on each trial

b) sampling is done without replacement

c) there are only two possible outcomes

d) trials are dependent

e) n < 5%N

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Hard

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

69. The hypergeometric distribution must be used instead of the binomial distribution when ______

a) sampling is done with replacement

b)  sampling is done without replacement

c) n≥5% N

d) both b and c

e) there are more than two possible outcomes

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Hard

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

70.          The probability of selecting 2 baseball players and 3 basketball players for an intermural competition at a small sports camp would best be modeled with the _______.

a) binomial distribution

b) hypergeometric distribution

c) Poisson distribution

d) hyperbinomial distribution

e) exponential distribution

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Medium

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

71.          The probability of selecting 3 female employees and 7 male employees to win a promotional trip  a company with 10 female and 50 male employees  would best be modeled with the _______.

a) binomial distribution

b) hypergeometric distribution

c) Poisson distribution

d) hyperbinomial distribution

e) exponential distribution

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Medium

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

72.          Suppose an interdisciplinary committee of 3 faculty members  is to be selected from a group consisting of 4 men and 5 women.  The probability that all three faculty selected are men is approximately _______

a) 0.05

b) 0.33

c) 0.11

d) 0.80

e) 0.90

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Medium

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

73. Suppose an interdisciplinary committee of 3 faculty members is to be selected from a group consisting of 4 men and 5 women.   The probability that one male faculty and two female faculty are selected is approximately ______

a) 0.15

b) 0.06

c) 0.33

d) 0.48

e) 0.58

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Medium

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

74. Aluminum castings are processed in lots of five each.  A sample of two castings is randomly selected from each lot for inspection.  A particular lot contains one defective casting; and x is the number of defective castings in the sample.  P(x=0) is _______.

a) 0.2

b) 0.4

c) 0.6

d) 0.8

e) 1.0

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Medium

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

75. Aluminum castings are processed in lots of five each.  A sample of two castings is randomly selected from each lot for inspection.  A particular lot contains one defective casting; and x is the number of defective castings in the sample.  P(x=1) is _______.

a) 0.2

b) 0.4

c) 0.6

d) 0.8

e) 1.0

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Medium

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

76.          Circuit boards for wireless telephones are etched, in an acid bath, in batches of 100 boards.  A sample of seven boards is randomly selected from each lot for inspection.  A batch contains two defective boards; and x is the number of defective boards in the sample.  P(x=1) is _______.

a) 0.1315

b) 0.8642

c) 0.0042

d) 0.6134

e) 0.6789

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Hard

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

77. Circuit boards for wireless telephones are etched, in an acid bath, in batches of 100 boards.  A sample of seven boards is randomly selected from each lot for inspection.  A particular batch contains two defective boards; and x is the number of defective boards in the sample.  P(x=2) is _______.

a) 0.1315

b) 0.8642

c) 0.0042

d) 0.6134

e) 0.0034

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Hard

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

78.          Circuit boards for wireless telephones are etched, in an acid bath, in batches of 100 boards.  A sample of seven boards is randomly selected from each lot for inspection.  A particular batch contains two defective boards; and x is the number of defective boards in the sample.  P(x=0) is _______.

a) 0.1315

b) 0.8642

c) 0.0042

d) 0.6134

e) 0.8134

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Hard

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula

79.          Ten policyholders file claims with CareFree Insurance.  Three of these claims are fraudulent.  Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.  If x represents the number of fraudulent claims in Earl’s sample, P(x=0) is _______________.

a) 0.0083

b) 0.3430

c) 0.0000

d) 0.2917

e) 0.8917

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Hard

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula

80.          Ten policyholders file claims with CareFree Insurance.  Three of these claims are fraudulent.  Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.  If x represents the number of fraudulent claims in Earl’s sample, P(x=1) is _______________.

a) 0.5250

b) 0.4410

c) 0.3000

d) 0.6957

e) 0.9957

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Hard

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula

81.          If sampling is performed without replacement, the hypergeometric distribution should be used.  However, the binomial may be used to approximate this if _______.

a) n > 5%N

b) n < 5%N

c) the population size is very small

d) there are more than two possible outcomes of each trial

e) the outcomes are continuous

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Hard

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

82.          One hundred policyholders file claims with CareFree Insurance.  Ten of these claims are fraudulent.  Claims manager Earl Evans randomly selects four of the one hundred claims for thorough investigation.  If x represents the number of fraudulent claims in Earl’s sample, x has a _______________ distribution.

a) continuous

b) normal

c) binomial

d) hypergeometric

e) exponential

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Medium

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula.

83.          One hundred policyholders file claims with CareFree Insurance.  Ten of these claims are fraudulent.  Claims manager Earl Evans randomly selects four of the one hundred claims for thorough investigation.  If x represents the number of fraudulent claims in Earl’s sample, x has a _______________.

a) normal distribution

b) hypergeometric distribution, but may be approximated by a binomial

c) binomial distribution, but may be approximated by a normal

d) binomial distribution, but may be approximated by a Poisson

e) exponential distribution

Ans:

Response: See section 5.5 Hypergeometric Distribution

Difficulty: Medium

Learning Objective: 5.5: Solve problems involving the hypergeometric distribution using the hypergeometric formula

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