A b we have to find a and b

ions, Cartesian coordinates, graphs, kinematics. Trigonometric functions Exponential and logarithmic functions Limits and differentiation Algebra, vector and matrices Combinatorics and Probability This task is divided in 3 stages. each stage will have its own milestone and will be released upon completion and review. Please just bid if you are available for all the tasks, check carefully the times. Complete a questionary with the math questions, approx. 7 pages every answer should be complete and extensive and fully explained in order to be fully understood the process. Approx. time 2 to 2.5 hours. Task 2 will take place on Monday, September 6, 2021 at: 1:00pm / 13:00 Coordinated Universal Time (UTC) This task will include a similar questionary with A B OR C Answers, approx time 1.5 hours to 2 hours, This questions will be provided one by one and requires that we connect by chat live. Task 3 will take place on Monday, September 6, 2021 at: 1:00pm / 13:00 Coordinated Universal Time (UTC) after task2 Upon completion of task 2 a document similar to task 1 will be provided in pdf, this one need to be completed within 4 hours after provided approx. 7 pages every answer should be complete and extensive and fully explained in order to be fully understood the process. For now I will provide task 1 document.

hour. Let N(t) be the number of custoer arrivals up to time t, with hour as the unit. There are two types of soft drinks, type A and B, stored in the machine. Suppose that each time a customer deposits money, the machine dispenses one soft drink A with probability p1, or one soft drink B with probability p2. We have p1 + p2 = 1, p1 > 0, p2 > 0. Let X(t) be the number of type A soft drinks dispensed up to time t; and Y (t) be the number of type B soft drinks dispensed up to time t.

subgame perfect Nash equilibrium? Question 3: In which situations should we need the mixed extension of a game? Question 4: Find, if any, all Nash equilibria of the following famous matrix game: L R U (2,0) (3,3) D (3,4) (1,2) Question 5: What is the difference between a separating equilibrium and a pooling equilibrium in Bayesian games? Question 6: Give another name for, if it exists, the intersection of the players’ best-response « functions » in a game? Question 7: assuming we only deal with pure strategies, the Prisoner’s Dilemma is a situation with: No Nash equilibrium One sub-optimal Nash equilibrium One sub-optimal dominant profile No dominant profile Question 8: If it exists, a pure Nash equilibrium is always a profile of dominant strategies: True False Question 9: All games have at least one pure strategy Nash equilibrium: True False Question 10: If a tree game has a backward induction equilibrium then it must also be a Nash equilibrium of all of its subgames: Tr 2/2 Question 11: The mixed Nash equilibrium payoffs are always strictly smaller than the pure Nash equilibrium payoffs: True False Question 12: Which of the following statements about dominant/dominated strategies is/are true? I. A dominant strategy dominates a dominated strategy in 2x2 games. II. A dominated strategy must be dominated by a dominant strategy in all games. III. A profile of dominant strategies must be a pure strategy Nash equilibrium. IV. A dominated strategy must be dominated by a dominant strategy in 2x2 games. I, II and IV only I, II and III only II and III only I and IV only I, III and IV only I and II only Question 13: A pure strategy Nash equilibrium is a special case of a mixed strategy Nash equilibrium: True False Question 14: Consider the following 2x2 matrix game: L R U (3,2) (2,4) D (-1,4) (4,3) The number of pure and mixed Nash equilibria in the above game is: 0 1 2 3 Exercise (corresponding to questions 15 to 20 below): assume a medical doctor (M) prescribes either drug A or drug B to a patient (P), who complies (C) or not (NC) with each of this treatment. In case of compliance, controlled by an authority in charge of health services quality, the physician is rewarded at a level of 1 for drug A and 2 for drug B. In case of noncompliance, the physician is « punished » at -1 level for non-compliance of the patient with drug A and at -2 level for non-compliance with drug B. As for the compliant patient, drug A should give him back 2 years of life saved and drug B, only 1 year of life saved. When noncompliant with drug A, the same patient wins 3 years of life (due to avoiding unexpected allergic shock for instance), and when non-compliant with drug B, the patient loses 3 years of life. Question 15: You will draw the corresponding matrix of the simultaneous doctor-patient game. Question 16: Find, if any, the profile(s) of dominant strategies of this game. Question 17: Find, if any, the pure strategy Nash equilibrium/equilibria of this game. Question 18: Find, if any, the mixed strategy Nash equilibrium/equilibria of this game. Questions 19 and 20: Now the doctor prescribes first, then the patient complies or not: draw the corresponding extensive-form game (= question 19) AND find the subgame perfect Nash equilibrium/equilibria (=

on a subsample of weekly data from Randall’s Supermarket, one of the biggest in the UK. Randall’s marketing management team wishes to identify trends and patterns in a sample of weekly data collected for a number of their loyalty cardholders during a 26-week period. The data includes information on the customers’ gender, age, shopping frequency per week and shopping basket price. Randall’s operates two different types of stores (convenient stores and superstores) but they also sell to customers via an online shopping platform. The collected data are from all three different types of stores. Finally, the data provides information on the consistency of the customer’s shopping basket regarding the type of products purchased. These can vary from value products, to brand as well as the supermarket’s own high-quality product series Randall’s Top. As a business analyst you are required to analyse those data, make any necessary modifications in order to determine whether for any single customer it is possible to predict the value of their shopping basket. Randall’s marketing management team is only interested in identifying whether the spending of the potential customer will fall in one of three possible groups including: • Low spender (shopping basket value of £25 or less) • Medium Spender (shopping basket value between £25.01 and £70) and • High spenders (shopping basket greater than £70) For the purpose of your analysis you are provided with the data set Randall’s.xls. You have to decide, which method is appropriate to apply for the problem under consideration and undertake the necessary analysis. Once you have completed this analysis, write a report for the Randall’s marketing management team summarising your findings but also describing all necessary steps undertaken in the analysis. The manager is a competent business analyst himself/herself so the report can include technical terms, although you should not exceed five pages. Screenshots and supporting materials can be included in the appendix. Requirements After completing your analysis, you should submit a report that consists of two parts. Part A being a non-technical summary of your findings and Part B a detailed report of the analysis undertaken with more details. Part A: A short report for the Head of Randall’s Marketing Management (20 per cent). This should briefly explain the aim of the project, a clear summary and justification of the methods considered as well as an overview of the results. Although, the Head of Randall’s Marketing Management team who will receive this summary is a competent business analytics practitioner, the majority of the other team members have little knowledge of statistical modelling and want to know nothing about the technical and statistical underpinning of the techniques used in this analysis. This report should be no more than two sides of A4 including graphs, tables, etc. In this report you should include all the objectives of this analysis, summary of data and results as well as your recommendations (if any). Part B: A technical report on the various stages of the analysis (80 per cent). The analysis should be carried out using the range of analytics tools discussed: • SPSS Statistics Ensure that the exercise references: • Binary and multinomial logistic regression • Linear vs Logistic regression • Logit Model with odds Ratio • Co-efficients and Chi Squared • MLR co-efficients • Assessing usefulness of MLR model • Interpreting a model • Assessing over-all model fit with Psuedo R-Squared measures • Classification accuracy (Hit Ratio) • Wald Statistic • Odd ratio exp(B) • Ratio of the probability of an event happening vs not happening • Ratio of the odds after a unit change in the predictor to the original odds • Assumptions • Residuals analysis • Cook’s distance • DfBeta • Adequacy (with variance inflation factor VIF and tolerance statistic) • Outliers and influential points cannot just be removed. We need to check them (typo? – unusual data?) • Check for multicollinearity • Parsimony Write a short and concise report to explain the technical detail of what you have done for each step of the analysis. The report should also cover the following information: • Any type of analysis that might be useful and check whether the main assumptions behind the analyses do not hold or cannot be • Give evidence of the understanding of the statistical tools that you are using. For example, comment on the model selection procedure and the coefficient interpretation, e.g. comment on the interpretation of the logistic regression coefficients if such a method is used and provide an example of • Conclusions and explanation, in non-technical terms, of the main points

inefficiencies, etc), and suggest an improved process. Open and read the Process Improvement (Final Q 1) document which describes the process steps in words and also includes a process map as a visual tool for understanding what's going on in each step. You will need to respond to the following three sub-questions: FINAL Q1: 3 Attachments are the Q1 ------------------------------------------------------------------------------------------------------------------------------------------------------------------ I need the 3 part question answered. This is everything in the question.. Understand that there is NOTHING INCOMPLETE, I have added everything that was sent to us. ------------------------------------------------------------------------------------------------------------------------------------------------------------------ a. Of the 9 process steps in the Process Improvement (Final Q 1) document, which specific steps in that process are experiencing lean wastes and/or process cycle time issues (please note, there is more than one step experiencing issues). In your response, name the process step, and/or the transfer interface between steps, and what waste(s) or cycle time issue is involved. Be sure to use standard lean/six sigma terminology that we used in the course when referring to any of the quality concepts; e.g., transportation waste when referring to situations involving a lot of moving around from one place to another. --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- b. Which of the process steps you identified in part a do you believe could benefit from process improvement and why? --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- c. What changes would you institute in the process to improve the steps you cited in part b of this question and describe how those changes improves the process. Be specific about which process step(s) your improving and thoroughly describe the improvement to that step. [Note: This question ties to what you decided was important in part b question above.] Also, when answering how you would improve a given process step, assume you have an unlimited budget and personnel resources and you can do mostly anything you want as long as it doesn't violate the laws of physics or the judicial system. Be cautious though because process improvement is designed to save time, money, and resources in doing the needed work.For example, automation is good, and also potentially expensive, so is it worth it for the improvement? - you will have to be the judge of that.

n, I completed parts A and B, but can't get C. We get all the answers to the questions but not how to get to the answer. The question is: Patrick changes velocity from 2.0 m/s North to 4.0 m/s South with an acceleration of 0.50 m/s/s South. (A) Determine how much time this process takes (ANSWER: 12 s). (B) Find his displacement (magnitude and direction) (ANSWER: 12 m South). (C) Find how much distance Patrick covered (ANSWER: 20 m). Another question I was having trouble with was this (I got part A but not parts B or C): Two cars are traveling along a straight line in the same direction, the lead car at 25.0 m/s and the other car at 30.0 m/s. At the moment the cars are 40.0 m apart, the lead driver applies the brakes, causing his car to have an acceleration of -2.00 m/s/s. (A) How long does it take for the lead car to stop? (ANSWER: 12.5 s). (B) Assuming that the chasing car brakes at the same time as the lead car, what must be the chasing car's minimum negative acceleration so as not to hit the lead car? (ANSWER: -2.29 m/s/s). (C) How long does it take for the chasing car to stop? (ANSWER: 13.1 s).

e in the Euclidean plane. In this exercise, we will show this is not true in the Poincar´e plane. As usual, let Γ be the unit circle in R2 , and let O be the origin. Let A = (3/4, 0) and B = (0, 3/4). Consider the P-triangle △OAB. Let γ be the E-circle through O, A, and B. Show that γ contains points outside of Γ and is therefore not a P-circle. Explain why this means that the P-triangle △OAB cannot have a circumscribed circle in the Poincar´e plane.

C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and AD = BC. Say the perpendicular bisector to DC meets the perpendicular bisector to AB at P. Then P A = P B and P C = P D. So the triangles P AD and P BC have equal sides and are congruent. Thus ∠P AD = ∠P BC. But P AB is isosceles, hence ∠P AB = ∠P BA. Subtracting, gives x = ∠P AD − ∠P AB = ∠P BC − ∠P BA = 90◦ . This is a preposterous conclusion – just where is the mistake in the “proof” and why does the argument break down there?

In each row, we have some True, some false. I want to calculate the number of possibilities