On average, commuters in Phoenix, Arizona, area require m= 40.0 minutes to get to work. Assume that...

On average, commuters in Phoenix, Arizona, area require m= 40.0 minutes to get to work. Assume that for all commuters the times to get to work are normally distributed with the standard deviation of s= 10 minutes. Joe is an average Phoenix resident and goes to work every day.

1. What is the probability that on any given day it will take Joe over 45 minutes to get to work?
1. What is the probability that it will take Joe exactly 40.0 minutes to get to work on any given day?
1. Joe has just left home to attend a meeting with the CEO in 30 minutes. If the CEO routinely fires employees who are tardy for meetings, what is the probability that Joe will still be employed tomorrow?
1. Joe is so punctual, that he leaves home for work at exactly same time. His work starts at 8:00 AM sharp. Due to traffic jams during morning rush hours Joe historically was tardy for work on 38.2% of days. What time does Joe leave home for work every morning? Briefly explain your train of thoughts in arriving to the answer.

Expert Solution

orchestra answered 2 years ago

I have figured them all out except D On average, commuters in Phoenix, Arizona, area require...

I have figured them all out except D On average, commuters in Phoenix, Arizona, area require m= 40.0 minutes to get to work. Assume the times to get to work are normallydistributed with a standard deviation of s= 10 minutes, and that Joe is an average Phoenix resident. What is the probability that on any given day Joe will require over 45 minutes to get to work? What is the probability it will take Joe exactly40.0 minutes to get to work...

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