A barber shop has homogeneous, independent arrivals every 10 minutes.  The interarrival times are exponentially distributed.  Each customer renders a tip to the barber, the tip size being Binomially distributed with p=.5 and n=10. How many customers are expected to arrive in two hours of operations? What is the pdf of the number of customers arriving in 2 hours of ops? What is the expected value and variance of a tip? Hint:  find E[tip^2] using a spreadsheet What is the mean and variance of the total tips received in 2 hours of ops?

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A barber shop has homogeneous, independent arrivals every 10 minutes.  The interarrival times are exponentially distributed.  Each customer renders a tip to the barber, the tip size being Binomially distributed with p=.5 and n=10.

How many customers are expected to arrive in two hours of operations?

What is the pdf of the number of customers arriving in 2 hours of ops?

What is the expected value and variance of a tip? Hint:  find E[tip^2] using a spreadsheet

What is the mean and variance of the total tips received in 2 hours of ops?

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