Question

There are 11 boxes, one of the boxes contained a bomb and the others each contains...

There are 11 boxes, one of the boxes contained a bomb and the others each contains Ai coins for i=1...10
what's the expected value of coins you get from picking m boxes among these 11 boxes.
(if you pick the bomb you get nothing)

Math   Statistics-And-Probability   
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Answer #1

Ai is the number of coins contained in the ith box, i = 1,2,..,10. Let A11 = 0(representing the number of coins in the box containing the bomb). m boxes are selected out of the 11 boxes. Define the random variable, aj = the number of coins in the jth selected box, j = 1,2,...,m. We have to find the expected number of coins by selecting m boxes out of 11, i.e. . Now,  (since A11 = 0), j= 1,2,...,m.

Therefore, . (Answer)

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