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: (iii) In the first policy year, no claims were observed for the insured. Determine the expected number of claims in the second policy year. Question V: You are given: (i) The size of a claim has an exponential distribution with probability density function: (ii) The prior distribution of Λ is an inverse gamma distribution with probability density function […]
Write the proposition “Every pair of integers x, y has a greatest common divisor.” as a logical expression, and justify your expression in 1-2 sentences. The only symbols in your expression shoul
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 includes facts about algebra on even and odd numbers, such […]
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 tutor will arrange times for assessment in w
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 tutor will arrange times for assessment in weeks 7 or […]
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.)
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 created by or on apps/websites such as (but not limited […]
This report is based on the case study of Supportify, a mental health support platform. The task is to critically evaluate the business
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 a platform. designed to connect individuals with mental health professionals for quick consultations via an app. […]
Representation of your experience with language/ literacy in different communities (10 marks) 2. Depth of critical analysis of personal experience in relation to the unit content (15 marks)
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. You can use generative artificial intelligence (AI) in order to […]
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
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 to the total number of cases on day t? C. Assuming for now that […]
Using sourced high-quality, royalty-free photography, and typography create a 30-second motion design video that communicates a specific piece of information about a place in the world of your choice
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 & Scale animation, Pre-composing, Shape animation, Type animation & effects, […]
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 1
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 20% of the unit purchase cost per component. There are 250 working days per […]
Create 3 marketing tools that will assist you to potentially gain employment- a 1-page Resume, a LinkedIn profile and a 60-90 second promotional video. PROCESS:
Workplace Practices Assignment 3: Folio Task. Topic: Finding Employment TASK: · Create 3 marketing tools that will assist you to potentially gain employment- a 1-page Resume, a LinkedIn profile and a 60-90 second promotional video. PROCESS: 1. Go to https://ccc.careereducation.sa.edu.au/ and create a student user profile, if you do not have one. 2. Once logged on navigate to the menu and select Learn About myself. Complete the following: […]