Michael and Greg share an apartment 10 miles from campus. Michael thinks that the fastest way...

Michael and Greg share an apartment 10 miles from campus. Michael thinks that the fastest way to get to campus is to drive the shortest route, which involves taking several side streets. Greg thinks the fastest way is to take the route with the highest speed limits, which involves taking the highway most of the way but is two miles longer than Michael’s route. You recruit 50 college friends who are willing to take either route and time themselves. After compiling all the results, you found that the travel time for Michael’s route follows a Normal distribution with mean equal to 30 minutes and standard deviation equal to 5 minutes. Greg’s route follows a Normal distribution with a mean equal to 26 minutes and a standard deviation of 9.5 minutes.

1)Which route is faster and why?

2)Which route is more reliable and why?

3) Suppose that you leaving home headed for a University exam. Obviously, you don’t want to be late. You are leaving home at 5:15 and the exam is at 6:00PM. Which route would you take to avoid being late and why? Show your calculations.

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orchestra answered 1 year ago

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