Question: The random variable X has probability function P(X = x) = ( kx, x = 1, 2, 3, k(x + 1), x = 4, 5,

The random variable X has probability function P(X = x) = ( kx, x = 1, 2, 3, k(x + 1), x = 4, 5, where k is a constant. (a) Find the value of k. (2) (b) Find the exact value of E(X). (2) (c) Find, to 1 decimal place, Var(4 3X). (4) 1

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