Problem Set #4 - Probability Distributions and Data Visualization

1. Use the built-in functions in R to make 100 draws from each of the following distributions, and then plot them with appropriate titles and labels.
2. Binomial (8 trials with p = 0.25)
3. Normal (mean = 0 with standard deviation = 1)
4. Normal (mean = 50 with standard deviation = 10)
5. Chi-squared (degrees of freedom = 5 with delta = 0)
6. Please answer the following questions.
7. What were some general things you observed by generating these samples and graphing them?
8. Does the graph you created visually match what you would have expected, based on references in the textbook and other resources?
9. What do you think would happen if you ran another sample from any or all of the above distributions? How would the observations differ, if at all? How would they be the same, if at all?
10. What do you think was the purpose of this exercise?

Please submit your document, R code, or worksheet files as needed