Mathematics: 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.

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Aphysical fitness association is including the

taylor5384

15.03.2022

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

$\mu=460\text{ seconds}\\\\\sigma=20\text{ seconds}$

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

z-score : $\dfrac{x-\mu}{\sigma}$

$z=\dfrac{322-460}{60}=-2.3$

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

P(x

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

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