Sara Elison needs to commute to MIT everyday. She currently lives near campus, but is considering moving to a place near Fenway stadium (Boston's baseball stadium). Her colleagues who live near there tell her that the commute from the office to the Fenway is independent across days and follows a \({\cal N}(20,9)\) on days where there is a home game at Fenway and \({\cal N}(12,4)\) on other days.

Q1) What is the probability that the commute on a particular game day exceeds 22 minutes?

Q2)What is the probability that all commutes on a particular 3-game homestand (3 games played at Fenway) exceed 22 minutes?

Q3)What is the probability that the commute on a particular game day exceeds the commute on a particular non-game day?