General Mathematics

1. Distinguish between numbers, sets, and functions as they appear in probability theory.
2. Identify what operations can and cannot be performed on numbers, sets, and functions.

Section 3.2: Probability Distributions for Discrete Random Variables

1. State the experiment that is modeled by a discrete uniform random variable.
2. State the probability mass function and cumulative distribution function for a discrete uniform random variable with a given range.
3. Use R to simulate a discrete uniform random variable.
4. State the experiment that is modelled by a Bernoulli random variable.
5. State the probability mass function and cumulative distribution function for a Bernoulli random variable.
6. Use R to simulate a Bernoulli variable.
7. State the experiment that is modelled by a geometric random variable.
8. State the probability mass function and cumulative distribution function for a geometric random variable.
9. Use R to simulate a geometric variable.
10. Describe how a probability histogram represents a probability mass function, and construct a probability histogram given a probability mass function and vice versa.
11. Relate probability histograms to the other histograms we have learned in class: frequency, relative frequency, and density histograms.