?

AP® Statistics

Free Version

Upgrade subject to access all content

Difficult

Running a 5K: Connecting $z$-Score and Probability

APSTAT-V1RNHG

Recently, Marco participated in a 5K race involving more than $1000$ runners. Finishing times for the race were approximately normally distributed, and Marco's $z$-score for his time to complete the race was $-0.33$.

Approximately what percent of the runners in this race did Marco finish ahead of?

A

$33.00\%$

B

$33.33\%$

C

$37.07\%$

D

$62.93\%$

E

$66.67\%$