The random variable X takes the values 1, 2, 3, 4. It is given that 𝑃(X =
x) = kx(x + a), where k and a are constants.
Given that 𝑃(X = 4) = 3𝑃(X = 2),
i) Find the value of a and the value of k.
ii) Given that 𝐸[𝑋] = 3.2, find Var X.
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