Find the Value of a Normal Random Variable
-A Physical $386 \mathrm { sec }$

Multiple Choice

Find the Value of a Normal Random Variable
-A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 50 seconds. The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition. What time would the boys need to beat in order to earn a certificate of recognition from the fitness association

A) $386 \mathrm { sec }$
B) $514 \mathrm { sec }$
C) $532.25 \mathrm { sec }$
D) $367.75 \mathrm { sec }$