Running a mile A study of 12,000 able-bodied male students at the University of Illinois

Chapter 6, Problem 23

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QUESTION:

Running a mile A study of 12,000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute.10 Choose a student at random from this group and call his time for the mile Y. Find P(Y < 6) and interpret the result.

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QUESTION:

Running a mile A study of 12,000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute.10 Choose a student at random from this group and call his time for the mile Y. Find P(Y < 6) and interpret the result.

ANSWER:

Step 1 of 2

Given,

The able-bodied male students at the University,

The mean times for the mile run,

The standard deviation times for the mile run,

Event: Y = time for the mile for a student chosen at random.

Let’s determine the probability of time for the mile less than 6 for a randomly chosen student:

 

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