QUESTION 6Suppose a random variable X has probability distribution function2krq²+I?for x = 2, 3kxP(X = x) =for x = 4,5%3|r² –1 '0,otherwise.where k is a numerical constant.Determine the expected value of X, using the value of k found.6.2282.9388.4523.586

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Answered: QUESTION 6 Suppose a random variable X…

A First Course in Probability (10th Edition)

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QUESTION 6 Suppose a random variable X has probability distribution function 2kr q²+I? for x = 2, 3 kx P(X = x) = for x = 4,5 %3| r² –1 ' 0, otherwise. where k is a numerical constant. Determine the expected value of X, using the value of k found. 6.228 2.938 8.452 3.586