The p.d.f of a random variable X is given by `f(x) = 3(1-2x^(2)), 0 lt x lt 1`
= 0 , otherwise
Find `P((1)/(4)lt X lt (1)/(3))`

If the p.d.f of a random variable X is given by f(x)=(2x)/9, 0 lt x lt 3 , then find E(3X+8).

The p.d.f of a random variable x is given by f(x)=(1)/(4a), 0 lt x lt 4a, (a gt 0) =0, otherwise and P(x lt (3a)/(2))=kP(xgt(5a)/(2) then k= . . .

The p.d.f of continuous random variable X is given by f(x)=x/8,0 lt x lt 4 =0 otherwise. Find (i) P(X lt 2) (ii) P(2 lt X le 3) ( iii) P( X gt 3.)

The p.d.f. of a continuous random variable X is f(x) = K/(sqrt(x)), 0 lt x lt 4 = 0 , otherwise Then P(X ge1) is equal to

The p.d.f. of a continuous random variable X is f(x) = K/(sqrt(x)), 0 lt x lt 4 = 0 , otherwise Then P(X ge1) is equal to

If a random variable X has the p.d.f. f(x)=k/(x^(2)+1), 0 lt x lt infty , then k is

The p.d.f of a continuous random variable X is f(x) = (x^(2))/(3), - 1 lt x lt 2 0 = otherwise Then the c.d.f of X is

Thep.d.f of a continous random variable X is f(x) = (x^(2))/(3), - 1 lt x lt 2 0 = otherwise Then the c.d.f of X is

If the p.d.f of a continuous random variable X is f(x)=kx^(2)(1-x), 0 lt x lt 1 = 0 otherwise Then the value of k is

If the p.d.f of a continuous random variable X is f(x)=kx^(2)(1-x), 0 lt x lt 1 = 0 otherwise Then the value of k is