About this question
Easy · Probability & Statistics · Quant Trader interview question · probability, variance, geometric-distribution
Suppose $X$ is a random variable representing the number of trials until the first success in a sequence of independent Bernoulli trials, where each trial has a probability of success $p$. This means $X$ follows a Geometric distribution, denoted as $X \sim \text{Geometric}(p)$. What is the variance of $X$, denoted as $\text{Var}(X)$?