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The probability distribution of a random...

The probability distribution of a random variable `X` is given as under: `P(X=x)={k x^2forx=1,2,3 2k xforx=4,5,6 0ot h e r w i s e` , where `k` is a constant. Find (i) `P(Xgeq4` ) (ii) `E(X)` (iii) `E(3X^2)`

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The correct Answer is:
(i) 4.32 (ii) 20.64 (iii) 15/22
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