For the remaining three programming items in this project, you rst must create a population of 5000 data values by entering > population = c(rpois(5000, c(10, 40))). Remember, if you at any point you return and regenerate your population, you will need to make sure to update all the rest of the objects that follow. (Note, although the Poisson probability distribution is used to generate the population, this project requires no specic knowledge of that probability distribution. It was an arbitrary choice made to generate an interesting looking population.)

4. For this item, you will do a basic analysis of the population.

(a) Create a histogram of the population (it should be a bi-modal distribution). Print this histogram and include it with your written responses. (No special parameters, like breaks, need to be entered. You can just use the default system settings.)

(b) Determine the mean of your population and assign that value to the object populationmean.

(c) Determine the standard deviation of your population and assign that value to the object populationsd.

5. For this item, you will do a simulation to provide a visualization of the Central Limit Theorem.

(a) You rst will need to generate a sampling distribution of sample means. In particular, the following