Question: (a) Say that X is a random variable and takes on integer values between 1 and K (not necessarily uniformly). Prove the following equation: Exp[X]

(a) Say that X is a random variable and takes on integer values between 1 and K (not necessarily uniformly). Prove the following equation: Exp[X] = 2:? Prob[X 2 I] (b) Say that we pick n values between 1 and K . What is the expected value of the smallest number we pick? You can leave it as a sum, but explain your answer carefully. Then give the precise answerwhenn=3andK=4

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