Q2Single correct3 Marks10 May 2026

Let $X \sim \mathcal{N}(\mu , \sigma ^2)$, find the value of c in terms of $\sigma$ such that P(X < $\mu$ + c) = 0.95.

A

$c = 0.95 \cdot \sigma$

B

$c = 1.645 \cdot \sigma$

C

$c = 1.96 \cdot \sigma$

D

$c = 1.96 \cdot \sigma ^2$