The probability distribution of a random variable $X$ is $P(X = i) = \frac{1}{2^i}$ , $i = 1, 2, 3, ........$ The variance of $X$ is equal to ________.

JEE Main 2022 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 30 July 2022, Shift 2, Maths Q89

Question 89 of 90 in this shift, Maths question 29 of 30, Section B.

The probability distribution of a random variable

X

P(X = i) = \frac{1}{2^i}

i = 1, 2, 3, ........

The variance of

X

is equal to ________.

Official answer

NTA final key.