There are n prizes, with values $1, $2, . . . , $n. You get to choose k random prizes

Chapter 4, Problem 45

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There are n prizes, with values $1, $2, . . . , $n. You get to choose k random prizes, without replacement. What is the expected total value of the prizes you get? Hint: Express the total value in the form a1I1 + + anIn, where the aj are constants and the Ij are indicator r.v.s.

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