EEE 25 problem set 3 - EEE 137 1s1920 Problem Set#3 Name 20 November 2019 Student Number Large Class Instructor DC Instructor INSTRUCTIONS \u2022 For

EEE 25 problem set 3 - EEE 137 1s1920 Problem Set#3 Name 20...

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EEE 137 1s1920 Problem Set #3 20 November 2019 Name: Student Number: Large Class Instructor: DC Instructor: INSTRUCTIONS For problem-solving parts, support correct answers with complete and concise solutions. The checker reserves the right to disregard illegible handwriting. Answer each problem on a separate sheet, properly labeled with your name and the name of your large class instructor. Box all final answers. Deadline: 5PM 27 November 2019 . Dropbox will be placed at DEEE 220. Problem 1. Bayesian Inference For this part, refer to the public data set available at: Suppose we want to check whether scholars entering PSHS (from Grade 7 to Grade 12) are equally represented in the two genders- Male and Female. Using Bayesian Inference, answer the following questions: 1. 3 points What is the collective ratio of male to female (via total counts)? 2. 2 points What is the likelihood of a male scholar in PSHS? Arrange the spreadsheet so that you will have data on the male to female ratio for each grade for each campus. Refer to the example below. Remove rows with 0 entries for the scholar count. There should be 78 row entries in your sorted data. 3. 5 points Using Gaussian approximation/CLT, what are the statistical parameters of your sorted data (mean and standard deviation)? 4. 5 points Find a MAP estimate of the male to female ratio given a prior hunch of M2F ratio as uniformly distributed between 0.5 to 2.5. 5. 10 points Find a MAP estimate of the male to female ratio given a prior hunch of M2F ratio as Gaussian with mean 1.0 and variance of 0.10. Hint: Product of two Gaussians Problem 2. Bayesian Inference
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