Find an alternate distribution for U

Reference no: EM131811581

Question: Let X be the number of heads in two fair coin tosses. Suppose U has uniform distribution on (0, 1), independently of X.

a) find the density of X + U and sketch its graph.

b) Find an alternate distribution for U such that for any integer-valued random variable X independent of U, the graph of the density of X + U is simply the usual histogram of the distributions of X.

Reference no: EM131811581

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