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

Statistics and Probability: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Jul, Evening shift · Q4999

JEE Main 202125 Jul, Evening shiftMathematicsEasyStatistics and Probability258× since 2002

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

JEE Main 202125 Jul, Evening shiftMathematicsEasyStatistics and Probability258× since 2002

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 :