The scheduled arrival time for a daily flight from Boston to New York is 9:25 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 9:15 am and a late arrival time of 9:55 am.

a.After converting the time data to a minute scale, calculate the mean and the standard deviation for the distribution.

b. What is the probability that a flight arrives late (later than 9:25 am)