Problem
Alice passes through four traffic lights on her way to work, and each light is equally likely to be green or red. independent of the others.
(a) What is the PMF, the mean, and the variance of the number of red lights that Alice encounters?
(b) Suppose that each red light delays Alice by exactly two minutes. What is the variance of Alice's commuting time?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.