Part A: A random variable is a numerical value determined by the outcome of an experiment. Briefly describe a discrete random variable. For each of the following indicate whether the random variable is discrete, and provide your reasoning.

i) The distance between Gainesville, Florida, and all Florida cities with population at least 50,000

ii) The number of hits for a team in a high school girls' softball game

iii) The length of time to get a haircut.

iv) The number of cars a jogger passes each morning while running.

Part B:

(a) Describe a Bernoulli experiment and give two examples.

(b) What is the connection between a Bernoulli experiment and a binomial distribution? Explain.