5. (10 marks) Recently, the manager of company ABC conducted a study of the amount of time customers spent on hold waiting for a representative to become available. The data showed that the distribution of time spent on hold is approximately normally distributed with a mean of 8 minutes and a standard deviation of 4 minutes. (a) (2 marks) Based on this information, what is the probability that a customer will have to wait more than 11.3 minutes? (b) [2 marks) Considering the data collected in this study, what is the probability that a customer will wait less than 2 minutes? (Hint: The waiting time cannot be negative!) (c) (2 marks) Suppose a customer has complained to the customer service manager that she was on hold at least for 22 minutes. Based on the data collected in this study, how would you respond to the customer? Do you think that the customer is accurate with her claim? {(1) (4 marks} The service numager wants to make sure (for all practical purposes) that at most 1% of the customers can wait longer than 18 minutes. edetenuine the standard deviation that would be minim] to meet this goal