If F(x) is the probability distribution function, then `F(infty)` is

If f(x) is the probability distribution function of a random variable X and X can assume only two values x_1 and x_2 then the value of f(x_1)+f(x_2) is

If X is the random varibale with distribution function F(x) given by F(x)={{:(0,-inftyltxlt0),(3/2(x-(x^(3))/(3)),0lexlt1),(1,3lexltinfty):} Find probability density function f(x)

If X is the random variable with distribution function F(x) given by , F(x) = {(o,xlt0),(x,0lt=xlt1),(1,1lt=x):} then find (i) the probability density function f(x) (ii) P(0.2lt=Xlt=0.7) .

The probability distribution of a r.v., X is Then F (-1)=

Following is the distribution function F(x) of a discrete r.v.(1) Find the probability distribution of X (ii) Find P(X 3)

A random variable X has the probability distribution: For the events E = (X is prime number) and F = {X lt 4}, the probability P(E uu F) is

A random variable X has the probability distribution: For the events E = { X is a prime number } and F = { X lt 4} , the probability P(E cup F) is ………..