Let x be the number of successes observed in a sample of n = 8 items selected from a population of N = 16. Suppose that of the N= 16 items, M = 9 are considered "successes." Find the probability. (Round your answer to four decimal places.) the probability of observing one success

Let x be the number of successes observed in a sample of n = 8 items selected from a population of N = 16. Suppose that of the N= 16 items, M = 9 are considered "successes." Find the probability. (Round your answer to four decimal places.) the probability of observing one success

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 11CR

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Question

Let x be the number of successes observed in a sample of n = 8 items selected from a population of N = 16. Suppose that of the N = 16 items, M = 9 are considered "successes." Find the probability. (Round your answer to four decimal places.)
the probability of observing one success

Expert Solution

Step 1

$G i v e n, N = 16 M = 9 n = 8 P (X = x) = \frac{{}^{M}{C_{x} \times {}^{N - M}{C_{n - x}}}}{{}^{N}{C_{n}}}; x = 0, 1, 2 . . . . .$

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