Let X Have a poisson distribution with parameter m. if m is an experimental value of...
Let X Have a poisson distribution with parameter m. if m is an experimental value of a random variable having gamma distribution with α =2 and β=1, compute P(X=0,1,2)
Homework Answers
ANSWER:
Given
α = 2, β = 1
Using Excel function GAMMA.DIST(x,α,β,cumulative)
P(x=0) = GAMMA.DIST(0,1,2,TRUE) = 0
P(x=1) = GAMMA.DIST(1,1,2,TRUE) = 0.264
P(x=2) = GAMMA.DIST(2,1,2,TRUE) = 0.594
P(x=0,1,2) = 0+0.264+0.594 = 0.858
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