This document outlines a quantitative methods assignment with two questions. [1] The first question asks students to describe real-life examples of a random variable that can be modeled with a binomial distribution and one that cannot, reflecting on the assumptions. Students must also calculate probabilities of events for each. [2] The second question instructs students to use a Bayesian revision template to update prior probabilities with new information from a pilot survey using Bayes' theorem. Students must select a valid prior distribution and values for a survey with a given number of positive responses out of selections. [3] The document provides rules for submission requiring students to name their file with their PGP roll number and submission software and submit it through the moodle online system.
![Quantitative Methods I: Section B & C
(COMPUTER) ASSIGNMENT - II
Due on or before: 6 pm on July 16, 2012
1. Describe real-life examples of TWO random variables, one whose distribution
can be modeled as a Binomial distribution and the other whose distribution is
discrete but should NOT modeled as Binomial. Reflect on assumptions made
while modeling in each case. Calculate probabilities of at least one event, of your
choice, in each case based on your models.
2. Open the template Bayesian Revision, using the CD-ROM accompanied by the
text-book (also copied in moodle). This macro exhibits how prior probabilities get
updated with additional information using the Bayes’ theorem.
a. Select a range for p in (0,1) consisting 8-12 values.
b. Put a valid prior distribution on this.
c. Now consider a specific response from a pilot survey -- in terms of x
positive responses out of a random selection of n; [Choose your x and n].
d. Reflect on posterior distribution that you get.
Rules for submission: Your submitted file should be named “ROLLNO_CE2.ext” where
“ROLLNO” is your PGP roll number and “.ext” would reflect the software you are using. The
file needs to be submitted via moodle. e-mail submissions would
not be considered under any circumstances.
1](https://image.slidesharecdn.com/exercise2-121004052550-phpapp01/85/Exercise-2-1-320.jpg)