I need anwser in word doc.

3. The manage sent at First 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) What percentage of customers have to wait for 10 to 13 minutes? (b) 20% of all customers with the longest waiting time spend at least how many minutes in the branch? (c) Is it possible that a customer may have to wait longer than 16 minutes for service? Explain. (15 points)