The probability distribution of a discrete random variable. X is given by

X	-2	2	5
P(X=x)	\(\frac{1}{4}\)	\(\frac{1}{4}\)	\(\frac{1}{2}\)

then find 4E(X²)- Var (2X)

A random variable. X has following distribution

X	-1	0	1	2
P(X=x)	\(\frac{1}{3}\)	\(\frac{1}{6}\)	\(\frac{1}{6}\)	\(\frac{1}{3}\)

Find E(2X+3)²

If a continuous random variable. X has the p.d.f. f(x) = 4k(x-1)³, 1 ≤ x ≤ 3 then find p[-2 ≤ X ≤ 2]

A player tosses two unbiased coins. He wins Rs. 5 if two heads appear, Rs. 2 if one head appear and Rs.1 if no head appear. Find the expected amount to win.

If the probability density function of a random variable. X is given by f(x) = \(\frac{2x}{9}\),0