In the interest of customer satisfaction, suppose that the Kroger Company conducted a study to determine the total time for cashiers to process a customer order during their busiest times of day. According to the study, the mean time an employee at Kroger takes to serve a customer is 175 seconds, and this time is exponentially distributed.
a. Determine the rate parameter.
b. Determine the probability that someone will have to wait more than 240 seconds for the cashier to process their order.