55. You are invited to a party. Suppose the times at which invitees are independent uniform (0,1)...

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55. You are invited to a party. Suppose the times at which invitees are independent uniform (0,1) random variables. Suppose that, aside from yourself, the number of other people who are invited is a Poisson random variable with mean 10.

(a) Find the expected number of people who arrive before you.

(b) Find the probability that you are the nth person to arrive.

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