MTH202 Probability and Statistics

विषयवस्तु

• General
  

  General

  • News forum फ़ोरम
  • Solutions to End Sem File
• Laws of Probability
  

  Laws of Probability

  Introduction to the notion of probability as a function on a Boolean Algebra. Definition of conditional probability and independence.

  • Grading Policy File
  • Lecture 1 File
  • Lecture 2 File
  • Assignment 1 File
  • Solutions to Assignment 1 File
  • Solutions to Quiz 1 File
  • Another nice book URL
  • A Course Web site URL
• Coins and Dice
  

  Coins and Dice

  Finite probabilities, binomial and multinomial distributions.

  • Lecture 3 File
  • Lecture 4 File
  • Assignment 2 File
  • Solution to Assignment 2 File
  • Solutions to Quiz 2 File
• Infinity in Laws of Probability
  

  Infinity in Laws of Probability

  The law of probability for an infinitely increasing sequence of events.

  • Simulations Using Sage File
  • PDF of Similations Using Sage File
  • Lecture 5 File
  • Lecture 6 File
  • Assignment 3 File
  • Solutions to Assignment 3 File
  • Solution to Quiz 3 File
• Mean, Median, Mode etc.
  

  Mean, Median, Mode etc.

  Various numbers that help us to understand a probability distribution.

  • Lecture 7 File
  • Assignment 4 File
  • Solutions to Assignment 4 File
• First Mid-Semester Examination
  

  First Mid-Semester Examination

  • Solutions to First mid-semester examination File
  • Distribution Page
• Some Distributions
  

  Some Distributions

  A look at some important distributions and how they arise.

  • Lectures 8 and 9 File
  • Lecture 10 File
  • Assignment 5 File
  • Poisson as Limit of Binomial Page
  • Poisson Density as limit of Negative Binomial Page
  • Sage worksheets for limiting distributions File
  • Solutions to Assignment 5 File
  • Solutions to Quiz 4 File
• Binomial to Normal
  

  Binomial to Normal

  Using Stirling's approximation to relate a certain limit of the binomial distribution to the normal distribution.

  • Lecture 11 File
  • Lecture 12 File
  • Normal as limit of Binomial and others Page
  • Assignment 6 File
  • Solutions to Assignment 6 File
  • Solutions to Quiz 5 File
• Using distributions
  

  Using distributions

  How to apply various distributions

  • Lecture 13 File
  • Assignment 7 File
  • About Poission URL
  • Solutions to Assignment 7 File
• Independence and the Law of Large Numbers
  

  Independence and the Law of Large Numbers

  Independence, Covariance and the (Weak) Law of Large Numbers.

  • Lecture 14 File
  • Lecture 15 File
  • Lecture 16 File
  • Assignment 8 File
  • Solutions to Assignment 8 File
  • Solution to Quiz 6 File
• Characteristic functions
  

  Characteristic functions

  Characteristic functions characterise distributions.

  • Lectures 17 and 18 and 19 File
  • Assignment 9 File
  • Solutions to Assignment 9 File
• Second Mid Semester Examination
  

  Second Mid Semester Examination

  Matters related to second mid-semester exaqmination.

  • Solutions to Second Mid-Semester Examination File
  • Assignment 10 File
  • Solutions to Assignment 10 File
  • Solutions to Quiz 7 File
• Statistics
  

  Statistics

  A brief course on statistics for the remaining few weeks of this course.

  • Lecture 19 File
  • Sage Worksheet on Intro to Stats URL
  • Lavine's Book URL
  • Online Open Source Book URL
  • Lecture 22 File
  • Assignment 11 File
  • Solutions to Assignment 11 File
  • Lecture 23 File
  • Assignment 12 File
  • Solution to Assignment 12 File
  • Solution to Quiz 8 File
  • Lecture 24 File