Posted by **Chris** on Monday, October 12, 2009 at 12:37pm.

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 50 seconds. Find the probability that a randomly

selected boy in secondary school can run the mile in less than 335 seconds.

- Math -
**MathMate**, Monday, October 12, 2009 at 1:45pm
The mean is 450 seconds and the standard deviation is 50 seconds.

Number of standard deviations below mean

=(450-335)/50 = 2.3

Since it is assumed to be normally distributed, look up the normal distribution table to get the probability of 2.3 standard deviations lower than the mean. (approx. 1%)

- Math -
**Anonymous**, Monday, October 14, 2013 at 10:34pm
) 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 60 seconds. Find the probability that a randomly

selected boy in secondary school can run the mile in less than 312 seconds.

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