Let x be a random variable such that the probability function of a distribution is given by P(X) = 0) 1 2 ,...

Question

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:

Accepted Answer

(B)

JEE Main 2021 Mathematics question

Solution