Aphysical fitness association is including the mile run in its secondary-school fitness test. the time for thisevent for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 60 seconds. find the probability that a randomly selected boy in secondary school can run the mile in less than 322 seconds.

 0.0107

Step-by-step explanation:

Given : The time for the event for boys in secondary school is known to possess a normal distribution with

Let x be the random variable that represents the time for mile run in its secondary-school fitness test.

z-score :

Now, the probability that a randomly selected boy in secondary school can run the mile in less than 322 seconds is given by :-

Hence, the probability that a randomly selected boy in secondary school can run the mile in less than 322 seconds = 0.0107