Variance of random variable

Answer the following questions in short: Find the maximum value of the variance of a random variable X following binomial distribution.

If variance of a random variable x is 23, then what is the variance of 2x+10:(a)56 (b) 33 (c) 46 (d) 92

Find the mean and variance of a random variable X , whose probability function is f(x) = {(lambdae^(-lambdax),"for"" "xgt=0),(0,"otherwise"):}

A dice is tossed twice. Find variance if random variable X denotes the numbers of odd integers obtain on it.

The mean and variance of a random variable X having binomial distribution are 4 and 2 respectively. Then P(x gt 6)=

The mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively, then P(X=1) is Theoretical Distributions