What are the possible values of x

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There are 6 closed boxes on a table. 4 of the boxes have nice prizes inside. The other 2 do not. You open boxes one at a time until you find a prize. Let X be the number of boxes you open.

A. What are the possible values of X? Give them as a comma-separated list in increasing order. And what are their probabilities? Also give them as a comma-separated list, matching up with the order of the values.

possible values: 

probabilities: 

B. Find E(X)

C. Var(x)

D. Suppose the prize inside each of the 4 good boxes is $100, but each empty box you open costs you $100. What is the expected gain (or loss) in this game? (Hint: Express the gain or loss as a function of X.)

Reference no: EM132158929

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