Probability Theory: In-Class Exercise 3 (Chapter 2 Review) Detailed Solutions

We solve 6 unique problems covering discrete expectations and the following discrete distributions.
* Four problems use the same information, but with different sampling criteria, which in turn determines what distribution (geometric (question 1) binomial (question 2) hypergeometric (question 3), or (question 4) negative binomial) is required to answer the questions.
* One problem uses the Poisson distribution to model information about COVID-19 provided by the CDC.
* One problem explores expectation and the moment generating function.
Start times for each problem:
2 - 6:45
3 - 13:10
4 - 18:10
5 - 23:30
6 - 34:03