Paper: CSIR-NET June 2018 · Subject: Physical Chemistry · Chapter: Data Analysis · Topic: Data Analysis – General · Marks: 2 · Difficulty: Medium
A Gaussian distribution has the functional form $\mathrm{f}(\mathrm{x})=\frac{2}{\sqrt{2 \mathrm{a}^{2} \pi}} \mathrm{e}^{-(\mathrm{x}-\mathrm{b})^{2} / 2 \mathrm{a}^{2}}$. The variance of such distribution is
(a)a
(b)$\mathrm{a}^{2}$
(c)b
(d)$\mathrm{b}^{2}$
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
exp[−(x − b)²/2a²] is a Gaussian with mean b and standard deviation a, so the variance is a².