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 (x) and the standard deviation (ox) of the flight time. (Round your answers to 4 decimal places.) UX (b) Find the probability that the flight time will be within one standard deviation of the mean. (Round your answer to 5 decimal places.) P =A weather forecaster predicts that the May rainfall In a local area will be between three and six Inches but has no Idea where within the Interval the amount will be. Let x be the amount of May rainfall In the local area, and assume that x Is uniformly distributed over the Interval three to six Inches. (a) Write the formula for the probability curve of x. fx) = for SXS (b) What is the probability that May rainfall will be at least four Inches? At least five Inches? (Round your answers to 4 decimal places.) P(x 2 4) P (x 25)