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A physical fitness association is including the mile run in its secondary-school fitness test. The time...

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 posses a normal distribution with a mean of 440 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 348 seconds

Math   Statistics-And-Probability   
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Answer #1

We have X : The time for this event for boys in secondary school is known to posses a normal distribution with a mean = 440 seconds and a standard deviation = 40 seconds.

We asked

P( X < 348) = P[(x- )/ < (348 - 440)/40]

P( X < 348 ) = P( Z < -2.30)

Using Z table

P( X < 348) = 0.0107

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