Suppose X is a positive random variable (i.e. P(X ≤ 0) = 0), such that P(X>10) ≥ 0.5. a. What is the smallest possible value for E[X]? b. Give a random variable X such that P(X> 10) ≥ 0.5, and such that E[X] is equal to the value you found in a.

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