The Thanksgiving and Christmas/New Year holidays are among the busiest long-distance travel periods of the year. Consider the following parameters for the distribution of lengths (in miles) of trips...

The Thanksgiving and Christmas/New Year holidays are among the busiest long-distance travel periods of the year. Consider the following parameters for the distribution of lengths (in miles) of trips taken by Americans during Christmas/New Year: Q1 = 120                  Median = 235                   Q3 = 510                   Mean = 275                  Standard deviation = 105 A) If 50 Christmas/New Year are randomly selected, find the probability that their aver- age length is longer than 302 miles. (Leave your answer in 4 decimal places.)