https://classroom.github.com/a/bsfZcvHN

**Due: 2020-03-30 by 11:59pm**

Assume the population distribution is \(\text{Exponential}(\lambda = 5)\). We’ll use this distribution visualize the Central Limit Theorem. The probability density function for the Exponential distribution is

\[ f(x | \lambda) = \lambda e^{-\lambda x} \]

where \(\lambda > 0\) and \(x > 0\).

Plot the density function.

Which direction is the skew of this population distribution?

In a for loop of length

`R = 501`

generate a sample of size`N = 1001`

from the population. Calculate and store the sample mean of your sample. Don’t forget to pre-allocate your memory.Make a density plot of the

`R`

sample means.Does the distribution in part

`a.`

look like the distribution in part`c.`

? Explain your answer.