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You are a sales rep, and receive phone messages that 2 of your 4 major customers...

You are a sales rep, and receive phone messages that 2 of your 4 major customers need to talk to you about making a major purchase. Unfortunately, neither one identified themselves or left a callback number. So you will call them back in no particular order until you find one of the interested customers.

Let X= {1, 2, 3, 4} stand for which of your calls finally talks to one of the interested customers.

a) Write down a table of the probability mass function p(x) = P(X = x) for which call reaches the first interested customer.

b) Calculate the expected number of calls E(X) you will have made when you talk to the first interested customer.

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