Let x be the number of successes observed in a sample of n = 7 items selected from a population of N = 14. Suppose that of the N = 14 items, M = 8 are considered "successes." Find the probability. (Round your answer to four decimal places.) the probability of observing all successes

Let x be the number of successes observed in a sample of n = 7 items selected from a population of N = 14. Suppose that of the N = 14 items, M = 8 are considered "successes." Find the probability. (Round your answer to four decimal places.) the probability of observing all successes

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 = 7 items selected from a population of

N = 14.

Suppose that of the

N = 14

items,

M = 8

are considered "successes." Find the probability. (Round your answer to four decimal places.)

the probability of observing all successes

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Expert Solution

Step 1

$G i v e n, N = 14 n = 7 M = 8 a n d P (X = x) = \frac{{}^{M}{C_{x}} \times {}^{N - M}{C_{n - x}}}{{}^{N}{C_{n}}}; x = 0, 1, 2, . . . . . . .$

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