3) (a) If the moment generating function (m.g.f.) of a random variable X is
( ) exp 3( 32 ). 2 M t t t X = + Find mean and standard derivation of X and also compute
P(x < ).3 (6)
(b) The probability density function of a random variable X is f (x) = C | x |; Find C,
and the value of 0
x such that ,
4
3
( ) FX
x0 = where F is the CDF.
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