The probability distribution of a random variable x is given as under
`P(X=x)={{:(kx^(2),x="1,2,3"),(2kx,x="4,5,6"),("0,","otherwise"):}`
where, k is a constant. Calculate
(i) E(X) (ii) `E(3X^(2))` (iii) `P(Xge4)`

Explanation

To solve the problem step by step, we will follow the instructions given in the video transcript and calculate each part accordingly.

### Given Probability Distribution:
The probability distribution of a random variable \( X \) is defined as:
- \( P(X=x) = kx^2 \) for \( x = 1, 2, 3 \)
- \( P(X=x) = 2kx \) for \( x = 4, 5, 6 \)
- \( P(X=x) = 0 \) otherwise

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