The generalized negative binomial pmf is given by Let X,

Chapter 4, Problem 114E

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QUESTION:

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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QUESTION:

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?

ANSWER:

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 +

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