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Suppose you roll three fair coins, and let X be the cube of the number of heads showing. Compute…

Suppose you roll three fair coins, and let X be the cube of the number of heads showing. Compute E(X)…

 

Suppose you start with one penny and repeatedly flip a fair coin. Each time you get heads, before the first time you get tails, you get two more pennies. Let X be the total number of pennies you have at the end. Compute E(X).