Probability problem [hard]

by Mathesis Powel   Last Updated December 18, 2016 08:08 AM

Mark needs to commute to school everyday. He lives near campus, but is considering moving to a place near RedBull stadium. His colleagues who live near there tell him that the commute from the office to the RedBull is independent across days and follows a N(20,9) on days where there is a home game at RedBull and on N(12,4) other days.

1)What is the probability that the commute on a particular game day exceeds 22 minutes?

2)What is the probability that the commute on a particular game day exceeds the commute on a particular non-game day?

3)What is the probability that all commutes on a particular 3-game homestand (3 games played at Fenway) exceed 22 minutes?

I've tried many times but I have failed to get the answers. Can someone help me?



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