A commuter drives from his home to his office and from his office to his home every weekday. The ten, independent trips each take a normally distributed amount of time with an expected value of 40 minutes and a standard deviation of 10 minutes. (a) Determine the probability distribution of the commuter's total driving time during one day. (b) Determine the probability distribution of the commuter's total driving time during one week. (c) Determine the probability distribution of the commuter's average driving time per trip during one week.
A commuter drives from his home to his office and from his office to his home every weekday. The ten, independent trips each take a normally distributed amount of time with an expected value of 40 minutes and a standard deviation of 10 minutes. (a) Determine the probability distribution of the commuter's total driving time during one day. (b) Determine the probability distribution of the commuter's total driving time during one week. (c) Determine the probability distribution of the commuter's average driving time per trip during one week.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:A commuter drives from his home to his office and from his office
to his home every weekday. The ten, independent trips each take a
normally distributed amount of time with an expected value of 40
minutes and a standard deviation of 10 minutes.
(a) Determine the probability distribution of the commuter's total
driving time during one day.
(b) Determine the probability distribution of the commuter's total
driving time during one week.
(c) Determine the probability distribution of the commuter's
average driving time per trip during one week.
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