For a discrete random variable X the cumulative distribution function is given by F(x)-kx, x-1, 2, 3.

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For a discrete random variable X the cumulative distribution function is given by F(x)-kx, x-1, 2, 3. Find

(a) the value of the constant k,

(b) P(X <3),

(c) the probability distribution of X,

(d) the standard deviation of X.

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