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Suppose n customers gives a hat to a hat-check person, and a overcoat to a coat-check person. The hat- check person gives the hats back

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Suppose n customers gives a hat to a hat-check person, and a overcoat to a coat-check person. The hat- check person gives the hats back to the customers in a random order. The overcoat-check person does the same thing. Use indicator random variables to compute the expected number of customers who get back their own hat and own overcoat? Note you have to compute the number of customers who get both their own hat and own overcoat

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