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Mathematics, 16.04.2020 17:24 MarsBars8798

Let X be a random variable that has value 1 on "heads" (H) and 2 on "tails" (T), for the toss of a fair coin. Suppose we have a second coin that is biased with 'H' having a probability of ¾ and 'T' having a probability ¼. Let Y be a random variable that has value 1 on a 'H' with this biased coin, and value 2 on a 'T' with this biased coin. What is the covariance of X and Y? Hint: Compute the E(X) and E(Y). Also, you will need the joint probability distribution that was computed above. Then use those values in the formula for covariance.

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