A physical fitness association is including the mile run in itssecondary-school

Question

A physical fitness association is including the mile run in itssecondary-school fitness test for boys. The time for this event forboys in secondary school is normally distributed with a mean of 450seconds and a standard deviation of 40 seconds. If the associationwants to designate the fastest 10% as excellent, what time shouldthe assciation set for this criterion?
I'm not sure what to do to even start this problem out, thequestion it's asking is some what confusing.
I'm not sure what to do to even start this problem out, thequestion it's asking is some what confusing.

Explanation / Answer

X~Normal(450, 40^2) Since the association wants to designate the fastest 10% asexcellent, the probability is P(XP((X-)/ (c-450)/40=0.54 (check normal table) Thus, c=450+0.54*40=471.6

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