A random variable X takes values 0, 1, 2, 3 with probabilities (2a+1)/30, (8a-1)/30, (4a+1)/30, b respectively, where a, b. Let μ and σ respectively be the mean and standard deviation of X such that σ²+μ²=2. Then a/b is equal to:

Statistics and Probability: JEE Main 2026 Mathematics question

JEE Main 2026 · 21 Jan, Evening shift · Q10

JEE Main 202621 Jan, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

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\mathbf{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 :