Question
Let U be a uniform variable on [0, 1] and let N be an independent Poisson variable with mean=1. Given U = u and N
Let U be a uniform variable on [0, 1] and let N be an independent Poisson variable with mean=1.
Given U = u and N = n, we toss a p-coin (with p = u) for n times and let S be the number of heads obtained.
(a) Find P(S = 0).
(b) Find the conditional density of U given S = 0.
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Real Analysis
Authors: N L Carothers
1st Edition
1139632434, 9781139632430
