A random variable X takes values 0, 1, 2, 3 with probabilities (2… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 21 January, Shift 2Probability Distributions

A random variable $X$ takes values $0, 1, 2, 3$ with probabilities $\frac{2a+1}{30}, \frac{8a-1}{30}, \frac{4a+1}{30}, b$ respectively, where $a, b \in \mathbb{R}$ . Let $\mu$ and $\sigma$ respectively be the mean and standard deviation of $X$ such that $\sigma^2 + \mu^2 = 2$ . Then $\frac{a}{b}$ is equal to :

A
$12$
B
$3$
C
$60$
D
$30$

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