first pic gives information to solve question in second picture. please show all workings and calculations thank you. 1 d

1 The M/M/s Queue In the early 20th century, the Danish mathematician and engineer Agner Erlang developed queuing theory to find out how many telephone operators were needed to process a given volume of calls - so a customer was not "on hold" (or in a telephone queue) for too long. Suppose that data for Erlang's company showed that, on average, =240 calls per hour need to be handled (with the exponential distribution as a reasonable picture of interarrival times). The time needed to help a customer (service or processing time) is exponentially distributed with a mean of E[T]=3.75 minutes. Iow long (minutes) does an average customer spend "on hold" waiting for an operator? 1 The M/M/s Queue In the early 20th century, the Danish mathematician and engineer Agner Erlang developed queuing theory to find out how many telephone operators were needed to process a given volume of calls - so a customer was not "on hold" (or in a telephone queue) for too long. Suppose that data for Erlang's company showed that, on average, =240 calls per hour need to be handled (with the exponential distribution as a reasonable picture of interarrival times). The time needed to help a customer (service or processing time) is exponentially distributed with a mean of E[T]=3.75 minutes. Iow long (minutes) does an average customer spend "on hold" waiting for an operator