Let X be a random variable such that the probability function of a distribution is given by …. Then the mean of the distribution and P(X is positive and even) respectively are :

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Probability

JEE Main 2021 · 25 Jul, Evening shift · Q4999

MathematicsEasy75×since 2002Q4999

Let X be a random variable such that the probability function of a distribution is given by

P(X = 0) = {1 \over 2},P(X = j) = {1 \over {{3^j}}}(j = 1,2,3,...,\infty )

. Then the mean of the distribution and P(X is positive and even) respectively are :

JEE Main 2021 · 25 Jul, Evening shift · Q4999

MathematicsEasy75×since 2002Q4999

Let X be a random variable such that the probability function of a distribution is given by

P(X = 0) = {1 \over 2},P(X = j) = {1 \over {{3^j}}}(j = 1,2,3,...,\infty )

. Then the mean of the distribution and P(X is positive and even) respectively are :