MathematicsEasy75×since 2002Q4999Let X be a random variable such that the probability function of a distribution is given by P(X=0)=12,P(X=j)=13j(j=1,2,3,...,∞)P(X = 0) = {1 \over 2},P(X = j) = {1 \over {{3^j}}}(j = 1,2,3,...,\infty )P(X=0)=21,P(X=j)=3j1(j=1,2,3,...,∞). Then the mean of the distribution and P(X is positive and even) respectively are :A38{3 \over 8}83 and 18{1 \over 8}81B34{3 \over 4}43 and 18{1 \over 8}81C34{3 \over 4}43 and 19{1 \over 9}91D34{3 \over 4}43 and 116{1 \over 16}161Check answerSkip