The management at ohio national bank does not want its customers to wait in line for service for too long. the manager of a branch of this bank estimated that the customers currently have to wait an average of 8 minutes for service. assume that the waiting times for all customers at this branch have a normal distribution with a mean of 8 minutes and a standard deviation of 2 minutes. a) find the probability that a randomly selected customer will have to wait for less than 3 minutes. b) what percentage of the customers have to wait for 10 to 13 minutes? c) what percentage of the customers have to wait for 6 to 12 minutes? d) is it possible that a customer may have to wait longer than 16 minutes for service? explain.

An attorney came to work on a saturday. when he signed in, he was advised by the morning security guard employed by the building management that he must be out of the building by 5 p.m., when it closes. however, he stayed past 5 p.m. to complete a brief that had to be filed on monday morning. at 5: 15 p.m., the afternoon security guard set the locks on all the doors of the building and left. because she was in a hurry, she did not check the sign-in sheet to make sure that everyone had signed out, contrary to mandatory procedures. when the attorney tried to exit 15 minutes later, he discovered that the doors were all locked and could not be opened from the inside. he used his cell phone to call for , and a supervisor from the building arrived and let him out shortly thereafter. if the attorney sues the building management for false imprisonment, is he likely to win?