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Let X have p.m.f {:(P(x) = kx^(2) , x...

Let X have p.m.f `{:(P(x) = kx^(2) , x = 1","2","3","4),(=0, "otherwise"):}`
Find mean and varince of X.

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To solve the problem step by step, we will follow the outlined process to find the mean and variance of the random variable \( X \) with the given probability mass function (p.m.f). ### Step 1: Identify the p.m.f and find the value of \( k \) The p.m.f is given by: \[ P(X = x) = kx^2 \quad \text{for } x = 1, 2, 3, 4 \] ...
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