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# Calculating Probability: Average Song Length

APSTAT-XKLNJK

The length of songs played by a certain radio station is approximately normally distributed with a mean of $210\text{ seconds}$ and a standard deviation of $25\text{ seconds}$.

If DJ turns on the radio just in time to catch the beginning of a new song, what is the probability the song will last between $170$ and $225\text{ seconds}$?

A

$0.05$

B

$0.27$

C

$0.67$

D

$0.73$

E

$0.95$