Question: Let X be a discrete random variable with probability mass function given by p(0) = 1/4 , p(1) = 1/4 , p(9) = 1/4 ,

Let X be a discrete random variable with probability mass function given by

p(0) = 1/4

, p(1) = 1/4

, p(9) = 1/4

, p(10) = 1/4

,

and let Y be a discrete random variable with probability mass function given

by

p(0) = 1/4

, p(3) = 1/4

, p(7) = 1/4

, p(10) = 1/4

(a) Find E[X] and E[Y ].

(b) Find Var(X) and Var(Y ). Which random variable has a larger variance?

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