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?
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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