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Normal Distribution: Probability Joey Arrives at School on Time

APSTAT-H75XZJ

The time it takes for Joey to arrive at his $1$st period class from home is normally distributed with a mean of $12$ minutes and a standard deviation of $4$ minutes.

If school starts at 8:15 A.M and Joey leaves his house at 8:00 A.M., what is the probability Joey will be late?

A

$0.23$

B

$0.28$

C

$0.46$

D

$0.77$

E

$1.00$