Suppose X Is a Normal Random Variable with Density Function $f ( x ) = \frac { 1 } { \sqrt { 2 \pi } } \mathrm { e } ^ { ( - 1 / 2 ) ( x + 4 ) ^ { 2 } }$

Multiple Choice

Suppose X is a normal random variable with density function $f ( x ) = \frac { 1 } { \sqrt { 2 \pi } } \mathrm { e } ^ { ( - 1 / 2 ) ( x + 4 ) ^ { 2 } }$ . Find the expected value and standard deviation of X.

A) μ = -4, σ = 1
B) μ = 1, σ = 4
C) μ = 1, σ = 16
D) μ = 4, σ = 1
E) μ = -4, σ = 16