Question: Use indicator random variables to solve the following problem, which is known as the hatcheck problem. Each of n customers gives a hat to a

Use indicator random variables to solve the following problem, which is known as the hatcheck problem. Each of n customers gives a hat to a hat-check person at a restaurant. The hatcheck person gives the hats back to the customers in a random order. What is the expected number of customers that get back their own hat?

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