# Statistics: Mean, Variance and Random Variable

Given the values below:

1.

mu = 2 and (sigma^2) = 0.5

a) Find the mean of the random variable:

Z = 3x - 2

b) Find the variance of the discrete random variable above.

2. Given: Z = 2x + 3

a) If the mean of X = 4, what is the mean of Z?

b) If the variance of x = 0.8, Find (sigma^2) of z

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#### Solution Preview

Mean and variance.

Given the values below:

1. mu = 2 and (sigma^2) = 0.5

a) Find the mean of the random variable:

E(Z) = ...

#### Solution Summary

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