Q$2)$ Customers send emails to the support team of an online store. On average, $3$ emails are received every $2$ minutes, with interarrival times following an exponential distribution $($CVa $=1).$ There are $6$ employees handling responses. Each response takes an average of $3$ minutes to write, and the standard deviation of response times is $2$ minutes.

a$.$ Estimate the average time a customer waits before receiving a response.

b$.$ What is the average number of emails that have been submitted but are still waiting for a response $($including those being processed$)?$

$$c$.$ Is it still possible to calculate the average wait time for customers if one employee leaves the job? Why, or why not, explain the reasoning. If it is possible, calculate the new average wait time for customers.

d$.$ Is it still possible to calculate the average wait time for customers if two employees leave the job? Why, or why not, explain the reasoning. If it is possible, calculate the new average wait time for customers. Q$2)$ Customers send emails to the support team of an online store. On average, $3$ emails are received every $2$ minutes, with interarrival times following an exponential distribution $(\backslash (\backslash$mathrm$\{$CVa$\}=1\backslash )).$ There are $6$ employees handling responses. Each response takes an average of $3$ minutes to write, and the standard deviation of response times is $2$ minutes.

a$.$ Estimate the average time a customer waits before receiving a response.

b$.$ What is the average number of emails that have been submitted but are still waiting for a response $($including those being processed$)?$

c$.$ Is it still possible to calculate the average wait time for customers if one employee leaves the job? Why, or why not, explain the reasoning. If it is possible, calculate the new average wait time for customers.

d$.$ Is it still possible to calculate the average wait time for customers if two employees leave the job? Why, or why not, explain the reasoning. If it is possible, calculate the new average wait time for customers.