Binomeal probability || Distribution,mean,variance || illustration on bay's theorem

Binomeal Probability|| Distribution||Mean|| Variance|| Illustration on Bay's Theorem

A random variable X has the following probability distribution Then the variance of this distribution is

Find mean for the following probability distribution

Intermediate Value Theorem & Illustration based on theorem

Two numbers are selected at random (without replacement) from first six positive integers. Let X denote the larger of the two numbers obtained. Find the probability distribution of X. Find the mean and variance of this distribution.

Consider the probability distribution of a random variable X. Variance of X

If the probability distribution of a random variable X is as given below Then, mean and variance are

Illustration Based Upon Mean Value Theorems

Illustration Based Upon Mean Value Theorems

A fair die is tossed.Let X denote twice the number appearing.Find the probability distribution,mean and variance of X .