Posted by **Nickie** on Sunday, January 27, 2013 at 2:10am.

Over the past 10 years, the local school district has

measured physical fitness for all high school freshmen.

During that time, the average score on a treadmill

endurance task has been μ 19.8 minutes with a

standard deviation of 7.2 minutes. Assuming that

the distribution is approximately normal, find each of

the following probabilities.

a. What is the probability of randomly selecting

a student with a treadmill time greater than

25 minutes? In symbols, p(X 25) ?

b. What is the probability of randomly selecting a

student with a time greater than 30 minutes? In

symbols, p(X 30) ?

c. If the school required a minimum time of 10 minutes

for students to pass the physical education course,

what proportion of the freshmen would fail?

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