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Let x be a random variable such that the...

Let x be a random variable such that the probability function of a distribution is given by ` P(X=0) =1/2 , P(X = J ) = 1/(3^j) ( j = 1,2,3 ,…..,,oo)` then the mean of the distribution and P(X is positive and even) respectively are:

A

`3/8 and 1/8`

B

`3/4 and 1/8`

C

`3/4 and 1/9`

D

` 3/4 and 1/16`

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