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Mathematics, 13.05.2020 12:57 lizsd2004
Suppose that the travel time from your home to your office is a normal random variable with mean 40 minutes and standard deviation 7 minutes on Mondays-Thursdays, and a normal random variable with mean 35 minutes and standard deviation 5 minutes on Fridays. (a) If you want to be 95 percent certain that you will not be late for an office meeting at 1PM on a Monday, what is the latest time at which you should leave home? (b) Suppose that you leave home every morning at 7:10AM to start your shift at 8AM. In a working year with 50 weeks and 250 working days, how many times on average will you be late to work with that schedule?
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