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Suppose X is a discrete random variable with probability mass function given by p (1) =...

Suppose X is a discrete random variable with probability mass function given by

p (1) = P (X = 1) = 0.2

p (2) = P (X = 2) = 0.1

p (3) = P (X = 3) = 0.4

p (4) = P (X = 4) = 0.3

a. Find E(X^2) .

b. Find Var (X).

c. Find E (cos (piX)).

d. Find E ((-1)^X)

e. Find Var ((-1)^X)

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