Suppose You Take a Random Sample from a Normally Distributed $\mu$

Multiple Choice

Suppose you take a random sample from a normally distributed population with mean $\mu$ = 175 and compute the sample mean $$\bar { x }$$ . If $$\sigma _ { \bar { x } } ^ { 2 }$$ = 9, find P( $$\bar { x }$$ > 172) .

A) 0300
B) 0100
C) 1732
D) 0577
E) 8413