COURSEWORK 1 (30%): Comparing  the  mechanical  behaviour  of  the  reconstituted  and natural (intact) soils of a Quarternary clay (Bothkennar clay) This is an in-depth study of reconstituted and natural soil behaviour of the Bothkennar clay,  from  the  UK,  which  has  been  extensively  studied  in  the  90’s.   See  excel spreadsheet and reference papers from Moodle, and make additional references. Each group is required to make an oral presentation of data analyses (detail provided in section B). The final Powerpoint Slides should be uploaded to Moodle by 12 Nov Tuesday by  12:00 noon. Group presentation plus Q&A will be carried out in my office GM08 the next day on 13 Nov Wednesday. (each student needs to do a part of presentation; timeslot will be allocated later). This is 10% module mark. The final written group report should strictly follow the structure below (as shown in  section A). The word limit is 2,500 words (please state word count at the end of  conclusion). Reference list, figures, tables, and appendices should be attached at the  end of the report; they excluded from word count. The submission deadline of the  final report […]

Question I: We assume the classical case Poisson/Gamma. We have: St |Θ = θ ~ Poisson(θ) Θ ~ Gamma(α , λ) Calculate the marginal distribution St (all the intermediary steps are required) using the Moment Gener- ating Function (MGF). Question II: The distribution of Sn+1|Si1,…, Sin with probability density function f(x|x1,…, xn ) is called the predictive distribution of the random variable Sn+1 . Show the following result (all the intermediary steps are required): Bi,n+1 = E[µ (Θ)|Si1,…, Sin] = E[Si,n+1 |Si1,…, Sin]. Question III: We assume the following mixing distributions:  St |Θ  ~  Poisson(Θ),  with Θ  ~  Gamma(α , T).   The distribution functions are then:   (a) Find the posterior distribution of the heterogeneity parameter for the year T + 1, knowing S1   = s1,…, ST  = sT , i.e. u(θ|S1,…, ST ) (all the intermediary steps are required). (b) Find the predictive distribution of ST+1 knowing S1 = s1,…, ST  = sT , i.e. Pr(ST+1|S1,…, ST ) (all the intermediary steps are required). (c) Find the Bayesian (predictive) premium using the result in (a) (d) Find the Bayesian (predictive) premium using the result in (b) Question IV: You are given: (i) An individual insured has annual claim frequencies that follow a Poisson distribution with mean Λ . (ii) An actuary’s prior distribution for the parameter Λ has probability density function:   […]

EECS 203: Discrete Mathematics Fall 2024 Homework 3 Legal Assumptions • You may use closure properties of the integers without proof, such as: integer · integer = integer, integer + non-integer = non-integer, etc. • You may use any facts about modular arithmetic/algebra without justification, such as the rules of modular addition and multiplication. This […]

Assessment This is an individual project that will assess your ability to develop an application in MATLAB using the skills you have gained in the course so far. Your work must be submitted by Wednesday of week 7 and assessed face to face. For this assessment, you *must* present your work to your tutor. Your […]

IMPORTANT NOTES ALL content produced for this class is expected to be a student’s ORIGINAL work unless it is specifically allowed in the instructions. The following are STRICTLY PROHIBITED unless permission is given in writing: • Stock images and stock vectors • Work by other creators (friends, relatives, pets, people you hired, etc.) • Work […]

ASSIGNMENT TASK: This report is based on the case study of Supportify, a mental health support platform. The task is to critically evaluate the business and provide recommendations. You are to assess the different company structures and recommend an appropriate structure for Supportify, with justifications. In addition, you are required to provide advice on company law in relation to the administration, management, and operation of Supportify, including considerations such as Corporation Tax, VAT, business transactions, contractual obligations, and other relevant legal factors .The case study is below. Case Study: “Supportify” – A Mental Health Support Platform Business Name: Supportify Business Slogan: Support is just one call away — We got you. Business Concept: Supportify is […]

EDF5634 S1 2025 / Assessment 1 Dropbox – Analysis of language use AI & Generative AI tools may be used in GUIDED ways within this assessment / task as per the guidelines provided. In this task, AI can be used as specified for one or more parts of the assessment task as per the instructions. […]

Problem Set 1 for CaSB 150 Due April 17, 2025 (Late problem sets will lose 10 points per day) 1.   A. When an exponentially growing number of cases for a disease—imagine a disease spreading like COVID-19—is increasing every 5 days by a factor of e=Exp(1)=2.71828…, express the total number of cases, N(t), as the solution for continuous exponential growth. Assume the infection started with one person: N(0)=1. What is the value for the per-capita (a.k.a. intrinsic) growth rate, r, of the disease? Let the units of time, t, be in days for your answer. B.  Write down an expression for how many new cases you should expect to appear on day t using your expression from part A. What is the fraction of new cases on day t relative […]

PROJECT MD2 ASSESSMENT VALUE: 15% OF FINAL MDC4502 RESULT BRIEF KEY LEARNING AREAS · World-building & basic Storytelling · Cinematography (shot types, colour grading) · Basic Camera Movements (panning, zooming) · Design Principles (composition, focal point, pacing, rhythm) · Motion Type, basic Opening Title & Credits · Basic Audio Editing SOFTWARE · After Effects (Position […]

Questions for MS1 – Inventory Models Question 1 The XYZ Company purchases a component used in making automobile generators, directly from the supplier.  XYZ’s generator production operation, which is operated at a constant rate, will need 1000 components per month.  Assume that ordering costs  are £25 per order, the unit purchasing cost is £2.50 per component, and that the annual holding costs are charged at […]