With k a constant, the random variable X has probability function ſk (x + 1)2 x = 0, 1, 2, 3 otherwise P(X = x) = Construct a table for the probability distribution of X. Two independent observations, Xi and X2, are taken from the distribution of X; new variables are defined as S = X, + X, and P= X, x X1. Find P(S = 3|P = 0).

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