Modeling Exercise 3 Instructions Overview For this modeling exercise, you will revisit the scenario given in the Modeling Exercise 2 Instructions document and consider the following, additional information. Materials Required To complete this deliverable, you will need the following materials This documentMicrosoft WordLucidChart.com, http://draw.io, StarUML (http://staruml.io), PlantUML (http://plantuml.com), or Microsoft Visio Scenario During your first visit to the restaurant, you conducted interviews with several people to better understand their responsibilities and job functions. The following descriptions are from the notes taken during that initial visit. Owner: The owner created the Mom & Pop Pizza 8 years ago and is now looking at opening a second store by year 10. In the planning for this, his family has convinced him that franchising the operation could be very successful. One large barrier to franchising is that of a consistent repeatable process. Therefore, the owner has decided to contact you to design an enterprise IT system that would be scalable to support a multi-state franchise. That being said, the owner has no vision of what this system would look like. He is a pizza chef, not an IT consultant/designer. Manager: The manager runs the day-to-day operations, as well as the hiring/firing/training; the manager is required to schedule all employees. Finally, the manager is responsible for inventorying and ordering the supplies needed. He orders supplies once a week. Hostess: The hostess greets customers and takes reservations over the phone. The hostess also takes delivery/takeout orders and arranges for delivery drivers. The hostess also seats customers when tables become available. Waiter: The waiter takes customer orders, delivers orders to one of the cooks, and takes drinks and food to the customers. The waiter also delivers the bill to the customer, takes money (or credit cards) to the hostess for processing, and returns change (or credit card receipt for signing). Cook: The cook receives orders from the wait staff and prepares the customer’s selections. Food Prep: The food prep prepares sauces and dough for cook’s use; he/she also prepares salad and all other side dishes. Busboy: The busboy cleans tables after customers leave, preparing the tables for the next customers. The busboy also delivers dirty dishes to the dishwasher. Accountant: The owner has traditionally filled the accountant role. He tallies receipts at the end of the day and makes bank deposits. He pays all the bills on a bi-weekly basis. He accounts for all employee hours, and every 2 weeks, he prepares payroll checks. He files all IRS and tax documentation and manages the health and benefits plans of the employees. Instructions With a revised business process in hand, it is time to begin identifying the key ways that you anticipate the users will interact with M&P PIES. To do that, you will create a use case diagram and 5 use case scenarios to model those interactions. It is important to note that a use case reflects the direct interaction that a user will have with the system, not an activity that takes place outside the system. For example, we would not want to create a use case for preparation of sauces, unless we were designing the system to have some role in that activity. For this third exercise, develop a use-case diagram showing all actors and use cases for the proposed, to-be system, and then choose 5 use cases from your use-case diagram and write a detailed use case scenario for each one. You will need to refer back to the to-be process description given in Modeling Exercise 2 instructions, as well as the notes provided above from the user interviews. As you complete this exercise, keep the following in mind: Refer to the Modeling Exercise grading rubric before you begin this exercise.Even though we are now modeling the use cases for a technology system, the use cases should still avoid references to any specific technology. The purpose of this diagram is to visually communicate with the client the way we expect them to use the new system. As such, your diagram should be easy to read for a non-technical person, follow correct UML syntax for use case diagrams (see the UML textbook), and include a proper title and legend (you will need to draw the legend manually, using the unique shapes used in the diagram along with a short textual description of what each shape represents).Be sure to model your use cases such that they represent actual interactions with the system and not activities that would occur outside the context of the new system.Don’t forget to include a system boundary in your use-case diagram.There are no set-in-stone solutions for this exercise. Just as in the real world, there are no off-the-shelf solutions for every IT challenge. It is not our intention to limit your creative knowledge designs.The instructor may make suggestions or add additional requirements in the weekly announcements for each modeling exercise, so be sure to heed those suggestions as you prepare your models, or you may lose points. Submit this assignment by 11:59 p.m. (ET) on Sunday of Module/Week 6.

As usual, include a comment at the top explaining the purpose of the script, your name, and the date it was created. For this lab, you'll need to download the following file, and place it into your working directory (It should be visible in the File Browser window). lab4Data-1.mat  1. In 1999, a space probe ignited and broke into pieces around Mars. The two teams who worked on the probe used different units of measurements, causing this catastrophe. Unfortunately, the TNR (Totally Not Real) Mars Rover has a similar mistake. As it is travelling across Mars it is collecting rock samples and taking measurements in Celsius, Meters, and Kilograms. A research team has written all their programs for data analysis in Imperial units: Fahrenheit, Feet, and Pounds. The rover has sent the data as a 50x3 matrix, where each row corresponds to one of 50 rock samples. The first column is the temperature of the samples in Celsius. The second column is the diameter of the samples in Meters. The third column is the mass of the samples in Kilograms. Below are the first three rows. [ ? 90.311 0.982 0.795 6.504 0.796 0.535 ? 20.331 0.992 0.777 ? ]  The first sample was measured to have a temperature of -90.311° C, a diameter of 0.982 Meters, and a mass of 0.795 Kilograms, corresponding to the row -90.311 & 0.982 & 0.795 \end{bmatrix}"> [ ? 90.311 0.982 0.795 ]  To load this data into MATLAB, make sure you have lab4Data.mat in your working directory, and run the following line in your Command Window: marsSamples = load('lab4Data-1.mat', 'data').('data') What this is doing is loading from the file lab4Data.mat the part labeled 'data', and telling MATLAB the variable was stored as 'data', and we want to store it as 'marsSamples'. Convert the data from units of Celsius, Meters, and Kilograms to Fahrenheit, Feet, and Pounds using matrix arithmetic, and store the result in a matrix 'marsSamplesConverted'. Hint: To convert from Meters to Feet and Kilograms to Pounds, the value just needs to be multiplied by a constant. We can do this by multiplying by a vector! But when we convert from Celsius to Fahrenheit, we need to multiply by a constant and then add 32. We cannot do this with just one matrix operation. So one straightforward way to tackle the problem is to multiply our matrix by a vector to multiply each column by the necessary constants, then in another line of code worry about adding 32 to the first column only. Measurements similar to these were actually taken to analyze Mars landings: Rock size?frequency distributions on Mars and implications for Mars Exploration Rover landing safety and operations (Links to an external site.)  2. For this next exercise, suppose you are an employee of the Poway Waste Water Plant. It has an open air plan, similar to the picture below.    Your supervisor, (who has just informed you that you will have to work overtime this weekend), has fallen into pool of poopy water you are observing. We wish to model the surface of the waste water, mostly to see if you will get wet from the ripple effect. You have calculated the distance from where your supervisor will fall to points around the pool, and stored them in a 50x50 matrix. To load this matrix into MATLAB, make sure you have lab4Data.mat in your working directory, and run the following line in your Command Window: wasteWaterDistance = load('lab4Data-1.mat', 'dist').('dist') Below are the first few entries of the matrix: 33.234  & 32.535  & 31.851 & \\   32.535 &  31.820  & 31.121 & \cdots\\   31.851 &  31.121 &  30.406& \\ \vdots & & & \ddots \end{bmatrix}"> [ 33.234 32.535 31.851 32.535 31.820 31.121 ? 31.851 31.121 30.406 ? ? ]  This means the location corresponding to the entry 1,1 is 33.234 meters from where your supervisor has fallen in. The ripple your supervisor creates across the surface follows a sinusoidal pattern, with an initial amplitude of 1 meter. To make an approximate model of the surface shortly after your supervisor falls, we take the sine of the distance from where your supervisor fell in, divided by the distance. Calculate this using matrix arithmetic, store the result in a matrix 'ripple', then plot the result with surf(ripple). You can play with the plot with the rotate and zoom tools in the toolbar. Finally, you are standing in the location corresponding to the matrix entry 20,18, and are 10 cm from the surface. Do you get wet from the ripple? Turn-in Instructions Create a script called lab4.m. Your script should include your name and each problem description in comments

please refer to the PDF attached for complete question and calculate TD(λ) Find a value of , strictly less than 1, such that the TD estimate for equals that of theλλTD(1) estimate. Round your answer for to three decimal places.λ●This HW is designed to help solidify your understanding of the Temporal Differencealgorithms and k-step estimators. You will be given the probability to State 1 and a vectorof rewards {r0, r1, r2, r3, r4, r5, r6}●You will be given 10 test cases for which you will return the best lambda value for each.Your answer must be correct to 3 decimal places. You may use any programminglanguage and libraries you wish.