a. To determine Compute the probability that exactly 5 of the 10 species selected are extinct. Explanation Calculation: A sample of 10 birds are considered from 132 bird species. It is given that 38 of the 132 bird species are extinct. Hypergeometric distribution: A random variable x is said to follow a hypergeometric distribution, if the probability distribution is as follows: p ( x ) = ( r x ) ( N − r n − x ) ( N n ) Here x = Maximum [ 0 , n − ( N − r ) ] , .... , Minimum ( r , n ) = Number of successes in the n elements N = Total number of elements . r = Number of successes in the N elements . n = Number of elements drawn . The mean of hypergeometric distribution is μ = n r N . The variance of hypergeometric distribution is σ 2 = r ( N − r ) n ( N − n ) N 2 ( N − 1 ) b. To determine Calculate the probability that at most 1 species is extinct.

13th Edition

ISBN: 9780134080215

Author: James T. McClave, Terry T Sincich

Publisher: PEARSON

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Chapter 4, Problem 147ACI

To determine

Compute the probability that exactly 5 of the 10 species selected are extinct.

To determine

Calculate the probability that at most 1 species is extinct.

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Chapter 4, Problem 146ACI

Chapter 4, Problem 148ACI

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