Question: Suppose you have to cross a train track on your commute. The probability that you will have to wait for a train is 1/5, or

Suppose you have to cross a train track on your commute. The probability that you will have to wait for a train is 1/5, or .20. If you don’t have to wait, the com mute takes 15 minutes, but if you have to wait, it takes 20 minutes.
a. What is the expected value of the time it takes you to commute?
b. Is the expected value ever the actual com­mute time? Explain.

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