Question: (a) If the probability distribution of a random variable X is f(x) = Ce-2x,0 < xs o, Find (i) the value of C (ii)

(a) If the probability distribution of a random variable X is f(x)

(a) If the probability distribution of a random variable X is f(x) = Ce-2x,0 < xs o, Find (i) the value of C (ii) P(X 0.5), (iii) P(X > 2), (iv)P(2 < X < 5), (v)P(X > 5/ X > 0) (b) Find mean and variance of pdf given in part (a).Also find mean and variance of y = 2x +3.

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