John can take either of two routes (A or B) to LAX airport. At midday on a typical Wednesday the travel time on either route is normally distributed with parameters μA 5 54 minutes, σA 5 6 minutes, μB 5 60 minutes, and σB 5 3 minutes. (a) Which route should he choose if he must be at the airport in 54 minutes to pick up his spouse? (b) Sixty minutes? (c) Sixty-six minutes? Explain carefully.
The amount of fill in a half-liter (500 ml) soft drink bottle is normally distributed. The process has a standard deviation of 5 ml. The mean is adjustable. (a) Where should the mean be set to ensure a 95Â percent probability that a half-liter bottle will not be underfilled? (b)Â AÂ 99Â percent probability? (c) A 99.9 percent probability? Explain.
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