A Survey of High School Seniors from a Certain School $f ( x ) = \frac { 1 } { 15.5 \sqrt { \pi } } e ^ { - ( x - 650 ) / 240.25 }$

Multiple Choice

A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 650 with a standard deviation of 15.5. Assuming the data can be modeled by a normal probability density function, find a model for these data.

A) $f ( x ) = \frac { 1 } { 15.5 \sqrt { \pi } } e ^ { - ( x - 650 ) / 240.25 }$
B) $f ( x ) = \frac { 1 } { 15.5 \sqrt { 2 \pi } } e ^ { - ( x - 650 ) / 480.5 }$
C) $f ( x ) = \frac { 1 } { 15.5 \sqrt { \pi } } e ^ { - ( x - 650 ) ^ { 2 } / 480.5 }$
D) $f ( x ) = \frac { 1 } { 15.5 \sqrt { 2 \pi } } e ^ { - ( x - 650 ) ^ { 2 } / 480.5 }$
E) $f ( x ) = \frac { 1 } { 15.5 \sqrt { 2 \pi } } e ^ { - ( x - 650 ) ^ { 2 } / 240.25 }$