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Over the past ten years, the local school district has measured physical fitness

ID: 3134810 • Letter: O

Question

Over the past ten years, the local school district has measured physical fitness for all high school freshman. During that time, the average score on a treadmill endurance task has been mu equal 19.8 minutes with a standard deviation equal 7.2 minutes. Assuming that the distribution is approxiately 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) =? Indicate this proportion (probability) on a normal curve.

Explanation / Answer

a. p(z > 0.72) = 0.2358
b. p(z > 1.42) = 0.0778
c. p(z < -1.36) = 0.0869