Question: A discrete random variable (Y) has discrete distribution given in the following table: (a) Calculate (P(1 (b) Calculate (mathrm{E}[Y]). (c) Calculate (operatorname{Var}[Y]). (d) Let (W=2

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

.3 2331 Yi f(yi) 0 .2 1 .3 23 4 .1

(a) Calculate \(P(1
(b) Calculate \(\mathrm{E}[Y]\).


(c) Calculate \(\operatorname{Var}[Y]\).
(d) Let \(W=2 Y+3\). Calculate \(\mathrm{E}[W]\).
(e) Calculate \(\operatorname{Var}[W]\).

.3 2331 Yi f(yi) 0 .2 1 .3 23 4 .1

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