Suppose X has an exponential distribution with parameter A=1 and Y|X = z has a Poisson distribution with parameter z. a) Generate at least 1000 random samples from the marginal distribution of X and make a probability histogram. b) Generate at least 1000 random samples from the conditional distribution of Y|X = 1.5 and make a probability histogram. c) Generate at least 1000 random samples from the marginal distribution of Y and make a probability

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.CR: Chapter 13 Review
Problem 34CR
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Suppose X has an exponential distribution with parameter A = 1 and Y|X = # has a Poisson distribution
with parameter z.
a) Generate at least 1000 random samples from the marginal distribution of X and make a probability
histogram.
b) Generate at least 1000 random samples from the conditional distribution of Y|X = 1.5 and make a
probability histogram.
c) Generate at least 1000 random samples from the marginal distribution of Y and make a probability
histogram.
d) Generate at least 1000 random samples from the conditional distribution of X|Y = 2 and make a
probability histogram.
Transcribed Image Text:Suppose X has an exponential distribution with parameter A = 1 and Y|X = # has a Poisson distribution with parameter z. a) Generate at least 1000 random samples from the marginal distribution of X and make a probability histogram. b) Generate at least 1000 random samples from the conditional distribution of Y|X = 1.5 and make a probability histogram. c) Generate at least 1000 random samples from the marginal distribution of Y and make a probability histogram. d) Generate at least 1000 random samples from the conditional distribution of X|Y = 2 and make a probability histogram.
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