1. The number of gallons of ice cream ordered at JJ Ice Cream on a hot summer day has the following probability density function f(x)= 1.5.x (200-x) 106 for 0 ≤ x ≤ 100 and 0 otherwise. a) What is the probability that X > 50? b) What is the probability that X < 50? c) What is the probability that 25 < X < 75? d) What is the expected value of X (E(X))? e) What is the expected value of X - 5? f) What is the expected value of 6X? g) What is the expected value of x² h) What is the probability that X is less than its expected value? i) What is the expected value of

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