MATLAB specialist required please. I need help answering the following question, particularly parts b) and c) that require MATLAB knowledge to create an m-file and code etc. All questions and parts required are attached below. Please show the code for the m-file and program. Thank you.

3. [15 marks Consider the tax-help service in Lab Exercises 11 with the same intensity function (t). Suppose that in order to offer a better service, two more operators are employed, making a total of 3 servers each having exponential service time distribution with rate 7 calls per hour. Suppose the service can have one call on hold, and if this is taken, an arriving call is lost (so there is a maximum of 4 calls in the system). Let Pn (t) be the probability that there are n calls in the system at time t and assume the system is empty at time t = 0 (a) Write down the differential equations and initial conditions satisfied by Pn (t) (b) Create a function M-file for the new problem and, as in Lab Exercises 11, run the program to compute and plot the probabilities Pn (t) together with the scaled intensity function against t. Label each of the graphs (c) Write down an expression for the probability P* (t) that a customer does not have to wait for service at time t. Extend your program in part (b) to compute and plot P* (t) against t. 3. [15 marks Consider the tax-help service in Lab Exercises 11 with the same intensity function (t). Suppose that in order to offer a better service, two more operators are employed, making a total of 3 servers each having exponential service time distribution with rate 7 calls per hour. Suppose the service can have one call on hold, and if this is taken, an arriving call is lost (so there is a maximum of 4 calls in the system). Let Pn (t) be the probability that there are n calls in the system at time t and assume the system is empty at time t = 0 (a) Write down the differential equations and initial conditions satisfied by Pn (t) (b) Create a function M-file for the new problem and, as in Lab Exercises 11, run the program to compute and plot the probabilities Pn (t) together with the scaled intensity function against t. Label each of the graphs (c) Write down an expression for the probability P* (t) that a customer does not have to wait for service at time t. Extend your program in part (b) to compute and plot P* (t) against t