SOLUTION: John can take on three possible routes from his home to his office in the morning. The percentage of days on routes A, B, and C to his office were 45%, 30%, and 25%, respectively.

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Question 1150682: John can take on three possible routes from his home to his office in the morning. The percentage of days on routes A, B, and C to his office were 45%, 30%, and 25%, respectively. The travelling time on each of these routes is normally distributed with mean and standard deviation.
Mean: Route A 30 minutes, Route B 35 minutes, Route C 28 minutes
Standard Deviation: Route A 10 minutes, Route B 8 minutes, Route C 12 minutes
John left his home at 8:28 am and arrived at his office before 9:0 0am. Calculate the probability that he took Route B to work?

Answer by ikleyn(52788) About Me  (Show Source):
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