Using a larger data set than the one given for Exercises 1-4, assume that airline arrival delays are normally distributed with a mean of -5.0 min and a standard deviation of 30.4 min.
a. Find the probability that a randomly selected flight has an arrival delay time of more than 15 min.
b. Find the value of Q3, the arrival delay time that is the third quartile.
Listed below are the arrival delay times (min) of randomly selected American Airlines flights that departed from JFK in New York bound for LAX in Los Angeles. Negative values correspond to flights that arrived early and ahead of the scheduled arrival time.
-30 -23 14 -21 -32 11 -23 28 103 -19 -5 -46