**Answer the following using R code.Answer the following
using R code.** Suppose Z is a standard normal random

variable. Suppose X is a normal random variable with mean 4 and

standard deviation 5.

**Answer the following using R**

code.

code.

c) What is the expected value of the random variable 5X – 3

**using R code**?

d) What is the standard deviation of the random variable (x-4) /

5 **using R code**?

e) If X and Z are independent then what is the variance of 2X –

4Z **using R code**?

d) What is the standard deviation of the random variable 5X –

3?