If a c.r.v. X has the probability density function
`f(x) = C(9-x^(2)), 0 lt x lt 3`
= 0 , otherwise
Then, the value of C is

If the function f(x) =(x^(2))/(3), - 1lt x lt 2 = 0 , otherwise is a p.d.f of X, then P(X lt 0) is

The random variable X has the probability density function f(x)={{:(ax+b, 0 lt x lt 1), (0, "otherwise"):} and E(X)=7/12 , then a and b are respectively

For the probabilty density function f(x) [ {:(,cx(1-x)^(3),0 lt x lt 1),(,0,"elsewhere"):} find the constant c.

A continuous random varibale X has probability density function f(x)=kx^(2) 0 le x lt 1 find k P(1 lt x lt 5)