Question: We consider a random variable X whose range is the set {1, 2, 3,} and which has probability function Consider also another variable Y defined

We consider a random variable X whose range is the set {1, 2, 3,…} and which has probability functionf(x) = P(X = x) = = x) = 1 x =

Consider also another variable Y defined as1, 2,... 2

i) Find the probability function and the distribution function of the variable Y.
(ii) Calculate E(Y).

f(x) = P(X = x) = = x) = 1 x = 1, 2,... 2

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