(Answered) Question a fair 20-sided die is rolled repeatedly until a

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Question: A fair 20-sided die is rolled repeatedly, until a gambler decides to stop. The gambler receives the amount shown on the die when the gambler stops. The gambler decides in advance to roll the die until a value of m or greater is obtained, and then stop (where m is a fixed integer with 1 ≤ m ≤ 20).

(a) What is the expected number of rolls (simplify)?

(b) What is the expected square root of the number of rolls (as a sum)?

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