The number of customers of a company during a randomly chosen day is a r.v. K for

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The number of customers of a company during a randomly chosen day is a r.v. K for which P(K = k) = 1/3(2/3)k, k = 0,1, .... The amount spent by a particular customer is an exponential r.v. with a mean of $1,000. All the r.v.’s involved are independent. Find the probability that the daily income exceeds $3,000.

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