Question: 2. Let X be a random variable with probability density function (a) Find MX(t), E(X), and Var(X). (b) UsingMX(t), calculate E(X). Hint: Note that by

2. Let X be a random variable with probability density function

1/4 if (-1,3) f(x) = otherwise.

(a) Find MX(t), E(X), and Var(X).

(b) UsingMX(t), calculate E(X).
Hint: Note that by the definition of derivative,

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1/4 if (-1,3) f(x) = otherwise.

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