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. Let X be the number of red lights that Alice encounters. Let A be the event that the first light is red.

• What is the PMF of X given A, i.e., PX|A(x)?

• What is the mean of X given A, i.e., E[X|A]?

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Electrical Engineering: Alice passes through four traffic lights on her way to work
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