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 40 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 358 seconds.
A) .4893
B) .5107
C) .9893
D) .0107

Question

Quizplus · Accepted Answer

To find the probability, we need to calculate the z-score for 358 seconds using the formula: z = (X - μ) / σ, where X is 358, μ is 450, and σ is 40. The z-score is (358 - 450) / 40 = -2.3. Using the standard normal distribution table, a z-score of -2.3 corresponds to a probability of approximately 0.0107.

A Physical Fitness Association Is Including the Mile Run in Its