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# The generalized negative binomial pmf is given by Let X, ISBN: 9780321629111 32

## Solution for problem 114E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 114E

The generalized negative binomial pmf is given by Let X, the number of plants of a certain species found in a particular region, have this distribution with p = .3 and r =2.5. What is P( X = 4)? What is the probability that at least one plant is found?

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Answer: Step1: Given, the negative binomial pmf is given by r x nb(x;r,p) = k(r,x). p (1 p) ; x = 0,1,2…. ------- (1) Let ‘x’ be the number of plants of a certain species found in a particular region. Given, p = 0.3 and r = 2.5. i). To find P(x = 4). k(r , x) = (x + r1)(x +r2)......(x +rx) x! Substitute this in equation (1) Therefore, (x + r1)(x +r2)......(x +rxr x nb(x;r,p) = x! p (1 p) (4+2.51)(4+2.52)(4+2.53)(4+2.54)...

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##### ISBN: 9780321629111

Since the solution to 114E from 3 chapter was answered, more than 313 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 114E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. This full solution covers the following key subjects: found, Negative, binomial, Generalized, given. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. The answer to “The generalized negative binomial pmf is given by Let X, the number of plants of a certain species found in a particular region, have this distribution with p = .3 and r =2.5. What is P( X = 4)? What is the probability that at least one plant is found?” is broken down into a number of easy to follow steps, and 50 words. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111.

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