The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 919 am and a late arrival time of 9:44 am.
a. After converting the time data to a minute scale, calculate the mean and the standard deviation for the distribution. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Mean =
Standard deviation =
b. What is the probability that a flight arrives late (later than 9:35 am)? Round intermidiate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Probability =
