Question: 5. Probability (3 points) Suppose you play a strange game where you flip a fair coin k times. If the coin comes up heads on

5. Probability (3 points) Suppose you play a strange game where

5. Probability (3 points) Suppose you play a strange game where you flip a fair coin k times. If the coin comes up heads on the ith flip, you win 20i dollars and otherwise you lose 4i2 dollars (for all i such that Let Xi be a random variable denotes the amount of money you win from theith flip (losing money can be thought of as "winning" negative money Let X be a random variable denotes the amount of money you win across all k of your flips () (0.5 poliate) Compute the espectel value of K E(%) (2) (0.5 points) Give a general formula for the expected value of the random variable X, (wherel

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