Question: A discrete random variable Y has discrete distribution given in the following table: yi f(yi) 0 .2 1 .3 2 .3 3 .1 4 .1

A discrete random variable Y has discrete distribution given in the following table:

yi f(yi)

0 .2 1 .3 2 .3 3 .1 4 .1

(a) Calculate P(1 < Y ≤ 3).

(b) Calculate E(Y ).

(c) Calculate V ar(Y ).

(d) Let W = 2Y + 3. Calculate E(W).

(e) Calculate V ar(W).

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