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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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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