SOLUTION: 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 di
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event for boys in secondary school is known to possess a normal di
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Question 765593: 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 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. Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! mean = 460 seconds and standard deviation = 60.
z factor for less than 322 seconds would be:
z = (322 - 460) / 60 = -2.3
probability of getting a z factor of less than -2.3 = .0107240811 which can be rounded to .0107.
the probability of a student running the mile in less then 322 seconds would be .0107.
you can find this number by looking up in the z-table for a z factor of -2.3.
one such table can be found here: http://lilt.ilstu.edu/dasacke/eco148/ztable.htm