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Let X be a discrete random variable whos...

Let X be a discrete random variable whose probability distribution is defined as follows:
`P(X=x)={(k(x+1)",",x="1, 2, 3, 4"),(2kx",",x="5,6,7"),(0"", "Otherwise"):}`
Where k is a constant. Calculate (i) the value of k (ii) E(X) (iii) Standard deviation of X.

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The correct Answer is:
`(i) (1)/(50), (ii) 5.2, (iii) 1.7`
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