A random variable X has poisson's distribution with mean 3. Then find the value of `P(Xgt2.5)`.

A random variable X has Poisson's distribution with mean 2. Then , P(X gt 1.5) is equal to

A discrete random variable X has the probability distribution given as below: (i) Find the value of k (ii) Determine the mean of the distribution.

A random variable X has the distribution. Then , variance of the distribution, is

Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 lt p lt 1. If P(x=r)//P(x= n-r) is independent of n and r, then p equals ..........

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 ………..

The mean and variance of a random variable X having a binomial distribution are 6 and 3 respectively. The probability of variable X less than 2 is

A random variable X has the following probability distribution: Determine (i) K (ii) P(X lt 3) (iii) P(X gt 6) (iv) P(0 lt X lt 3)

A random variable X has the following probability distribution : then P(X le 1) = ….......

The random variable X has a probability distribution P(X) of the following form, where k is some number : P(X)={{:(k, "if " x=0),(2k, "if " x=1),(3k, "if " x=2),(0, "otherwise"):} (a) Determine the value of k. (b) Find P (X lt 2), P (X le 2), P(X ge 2) .

A coin is tossed 19 times random variable X denotes the numbers of heads on it Then for ……….. value of r for P(X = r) is maximum.