Suppose a manager plans to sample 10 items from a population of 100 items and would like to determine the probability of observing 4 defective items in the sample. Which probability distribution should the manager use to compute this probability under the conditions listed here? a. The sample is drawn without replacement. b. The sample is drawn with replacement.

Question

Mathematics

Aliyah Kelley

2 May, 18:59

Suppose a manager plans to sample 10 items from a population of 100 items and would like to determine the probability of observing 4 defective items in the sample. Which probability distribution should the manager use to compute this probability under the conditions listed here? a. The sample is drawn without replacement. b. The sample is drawn with replacement.

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Answers (1)

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Jamir Coleman · Answer 1

a) We conclude that the menager use the hypergeometric distribution.

b) We conclude that the menager use the binomial distribution.

Step-by-step explanation:

a) We know that in probability theory, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement.

We conclude that the menager use the hypergeometric distribution.

b) We know that the binomial distribution describes the probability of k successes in n draws with replacement.

We conclude that the menager use the binomial distribution.