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

If a continuous random variable X has the p.d.f. f(x)=4k(x-1)^(3) 1<=x<=3 , then find P(1 le X le 2) .

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))

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).

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

Given the probability density functio (p.d.f) of a continuos random variable X as. f(x)=(x^(2))/(3),-1 lt x lt2 Determine the cumulative distribution function (c.d.f) X and hence find P(X lt1),P(X gt0), P(1 lt X lt 2) .

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

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