A discrete random variable X, where X {2, 3, 4, 5}, is such that P(X = x)

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A discrete random variable X, where X ∈{2, 3, 4, 5}, is such that P(X = x) = (b – x)2/30

a. Calculate the two possible values of b.

b. Hence, find P(2 < X < 5).

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