The pdf of a discrete random variable is defined as `f(x)={{:(kx^2","0lexle6),(0", ""elsewhere"):}`
Then the value of F(4) is

c.d.f F(x) of a continous random variable X is defined as .

If the p.d.f of a random variable X is f(x)={(0.5x, 0lexle2), (0, "otherwise"):} Then the value of P(0.5 le X le 1.5) is

If the p.d.f of a random variable X is F(x)={(0.5x, 0lexle2), (0, "otherwise"):} Then the value of P(0.5 le X le 1.5) is

A continuous random variable x has the p.d.f defined by f(x) = {(Ce""^(-ax),0ltxltoo),(0,"elsewhere"):} find the value of C if a gt 0.

Let the random variable X is defined as time (in minutes) that elapses between the bell and end of the lecture in case of collagen professor whrer pdf is defined as f(x)={{:(kx^2","0lexlt2),(0", ""elsewhere"):} find the probability that lecture continue for atleast 90s beyond the bell

If the p.d.f. of a c.r.v. X is f(x)={(kx^2 (1-x^3)","0lexle1,),(0",",elsewhere):} then :k…

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

The p.d.f. of a r.v. X is f(x)={{:(kx","0ltxlt2),(0", otherwise"):} , then k =

Let X is a continuous random variable with probability density function f(x)={{:(x/6+k,0lexle3),(0," otherwise"):} The value of k is equal to