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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))` and (iii) `P(x ge 4)`.

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The correct Answer is:
`(i) 4.32, (ii) 61.92, (iii) (15)/(22)`
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