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Southwest Airlines is studying service from Chicago to Phoenix. A random sample of 95 flights shows that the data are a normal distribution. The mean number of passengers per flight is 455 and the standard deviation is 35. Determine the following probabilities. For parts a, draw a diagram and shade in the region being described, and calculate the value. If you can explain how to calculate the probability in more than one way for any part or parts, you will receive bonus points. Be sure to label each method if you use more than one method.
a. What is the probability that a particular flight will carry between 455 to 460 and passengers?