A random variable X takes values 0,1,2,3 with probabilities \frac{2 a+1}{30}, \frac{8 a-1}{30}, \frac{4 a+1}{30}, b respectively, where a, b \in 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: [21 Jan 2026 Shift 2]

Statistics Part 2

Section: Mathematics

Question : 7 of 41

Marks: +1, -0

A random variable X takes values 0,1,2,3 with probabilities ‌

2a+1

,‌

8a−1

,‌

4a+1

,b respectively, where a,b∈R.
Let µ and σ respectively be the mean and standard deviation of X such that σ2+µ2=2.
Then ‌

is equal to:

[21 Jan 2026 Shift 2]

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