Q6: A global financial institution transfers a large data file every evening from offices around the world to its headquarters. The time required to process the file is normally distributed with mean of 1.5 hours and standard deviation of 15 minutes.
a. If one file selected at random, what is the probability that it will take longer than 1 hour and 55 minutes to process the file? (4 pts)
b. If the manager must be present until 85% of the files are processed, how long will the manager need to be there?