Let X be a uniform random variable on [0, 1] and
Y be an exponential random variable with rate parameter
λ = 1, independent of X. Find the density
of X+Y.
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Show transcribed image text 7. Let X, Y be two independent Poisson random variables with rate parameter λ〉 0. Let N ~ Binomial(n, 1 /2). Show that for each 0 k n,
7. Let X, Y be two independent Poisson random variables with rate parameter λ〉 0. Let N ~ Binomial(n, 1 /2). Show that for each 0 k n,
