Mean and Variance of a Linear Function of a Random Variable

Summary

a random variable can be multiplied by a constant and have a constant amount added to it.

this can effect the mean, variance and standard deviation.

this effect can be worked out from the probability distribution table, if given, or by using a series of formulae.

Key Skills

calculate the mean, variance and standard deviation of the probability distribution of a linear function of a random variable.

Vocabulary

linear functionrandom variableexpected valuevariance,constant
standard deviation.