8 Let X have the negative binomial distribution f(x) = (+=¦)p²(1-p)¹ for x=r,r+1,... (a) Obtain the maximum likelihood estimator of p. (b) For one engineering application, it is best to use components with a superior finish. Suppose X = 27 identical components are inspected, one at a time, before the r = 3rd component with superior finish is found. Find the maximum likelihood esti- mate of the probability that a component will have a superior finish.

8 Let X have the negative binomial distribution f(x) = (+=¦)p²(1-p)¹ for x=r,r+1,... (a) Obtain the maximum likelihood estimator of p. (b) For one engineering application, it is best to use components with a superior finish. Suppose X = 27 identical components are inspected, one at a time, before the r = 3rd component with superior finish is found. Find the maximum likelihood esti- mate of the probability that a component will have a superior finish.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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