Question

9.   Suppose that the time that it takes a student to complete this test is normally...

9.   Suppose that the time that it takes a student to complete this test is normally distributed. The mean time is 58 minutes with a standard deviation of 11 minutes. Use the empirical rule to solve the following questions. Answers using the normal calculator and not the empirical rule will be marked as wrong.

a.   What is the probability that a person will take between 47 and 58 minutes? (Draw a picture to show your answer.)
b.   What is the probability that a person will take more than 69 minutes to take the exam? (Draw a picture to show your answer.)
c.   What is the probability that a person will take less than 47 minutes to take the exam? (Draw a picture to show your answer.)
d.   The middle 95% of time taken to complete the exam is between what two values? (Draw a picture to show your answer.)
e.   What are the values for the middle 68% of test taking times? (Draw a picture to show your answer).
f.   What is the middle 99.5% of test taking times? (Draw a picture to show your answer.)
g.   Faster than what time is considered to be an unusually fast time to take the exam?

Math   Statistics-And-Probability   
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Answer #1

The probability that a person will take between 47 and 58 minutes is

The probability that a person will take more than 69 minutes to take the exam

The probability that a person will take less than 47 minutes to take the exam is

The middle 95% of time taken to complete the exam is between what two values are 36 and 80

The middle 68% of test taking times are 47 and 69

The middle 99.5% of test taking times are 25 and 91

g) 80 minutes

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