Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 2 hours and 2 hours, 20 minutes. Letting the time unit be one minute, (a) Calculate the mean flight time and the standard deviation of the flight time. (Round your answers to 4 decimal places.)
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(b) Find the probability that the flight time will be within one standard deviation of the mean. (Round your answer to 5 decimal places.)
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