8. Suppose X has a binomial-(100, 1/50) distribution and Y has a Poissondistribution with parameter λ?(a) Compute P{X = k}.(b) Compute P{Y = k}.(c) What should be so that P{X = k} ≈ P{Y = k}?(d) Compute P{X = k} and P{Y = k} for k = 0, 1, 2. Does the Poissondistribution with your choice of λ appear to be a good approximationof the binomial distribution for those three cases?(e) What is the error and relative error of approximating P{XP{Y = 1}.= 1} by

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Answered: 8. Suppose X has a binomial-(100, 1/50)…

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.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 20E

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