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 440 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.
A) .0107
B) .4893
C) .9893
D) .5107

Question

Quizplus · Accepted Answer

The z-score for a time of 325 seconds is (325 - 440) / 50 = -2.3. The probability of a z-score less than -2.3 is 0.0107.

A Physical Fitness Association Is Including the Mile Run in Its