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Normal Distribution: Tony's Height

APSTAT-CIES8Q

Tony is $6' 1''$ tall and is wondering about how his height relates to other boys in his school. The heights of boys in his school are approximately normally distributed with a mean of $5'9''$ and a standard deviation of $2.8''$.

What is the percentile rank of Tony's height compared to boys in his school?

A

$0.08$

B

$0.24$

C

$0.76$

D

$0.84$

E

$0.92$