Variance of a Geometric Random Variable - Quant Trader Interview Question
Difficulty: Easy
Category: Probability & Statistics
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Topics: probability, variance, geometric-distribution
Problem Description
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 $\text{Var}(X)$?
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