(1)A random variable is defined as 1/36(2x-1); x= 1,2,3,4,5,6     (a)Construct the Probability distribution function of X.     (b) Compute;      (i) the standard deviation of X        (ii) E (3x2 - 4x + 5)                                                    (iii)Var (4x + 5)

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(1)A random variable is defined as 1/36(2x-1); x= 1,2,3,4,5,6

    (a)Construct the Probability distribution function of X.

    (b) Compute;

     (i) the standard deviation of X  

     (ii) E (3x2 - 4x + 5)                                          

         (iii)Var (4x + 5)

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