Alice passes through four traffic lights on her way to work, Econometrics

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Alice passes through four traffic lights on her way to work

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 is commuting time?

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