Suppose that a maxterm in n variables is chosen uniformly at random from the set of...

 

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Suppose that a maxterm in n variables is chosen uniformly at random from the set of 2^n possible maxterms (in n variables), and each variable is true with probability 1/4, where all the variables are independent. We define a random variable X, where X = 0 if the maxterm is true, and X = 1 otherwise. Find the expectation of X, and justify your answer Suppose that a maxterm in n variables is chosen uniformly at random from the set of 2^n possible maxterms (in n variables), and each variable is true with probability 1/4, where all the variables are independent. We define a random variable X, where X = 0 if the maxterm is true, and X = 1 otherwise. Find the expectation of X, and justify your answer

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