Question

Consider the normal probability distribution function $f(x) = \frac{4}{\sqrt{2\pi}} e^{-8(x+3)^2}$. If $\mu$ and $\sigma$ are the mean and standard deviation of $f(x)$ respectively, then the ordered pair $(\mu, \sigma)$ is:

• A. $(3, \frac{1}{4})$
• B. $(-3, \frac{1}{4})$
• C. $(3, 4)$
• D. $(-3, 4)$

Answer 1

Answer: (B)

$(-3, \frac{1}{4})$

Answer 2

The correct option is (B) :$(-3, \frac{1}{4})$