DPS5018 by Victor Soh https://padlet.com/mmuvictor/DPS5018_topic_5 Topic 5 (week 9-10) en-us 2016-06-27 14:34:31 UTC 2023-03-17 23:31:21 UTC hello@padlet.com https://padlet-assets.s3.amazonaws.com/icons/Shakinghands.png MMLS Notes mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/115516908 These are what you need to know about Topic 5

Random Variables
  • 5.1) Discrete Random Variable
  • 5.2) The Mean and Standard Deviation of a Discrete Random Variable
  • 5.3) Binomial Distribution
  • 5.4) Poisson Distribution

]]> 2016-06-27 14:54:14 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/115516908 Bonus Marks mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/115517787 Post good learning materials over here to get your Bonus Marks :)]]> 2016-06-27 15:06:34 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/115517787 Final Exam Example (Solution) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/116553569 2016-07-18 11:14:23 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/116553569 Final Exam Example mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/116553855 2016-07-18 11:24:53 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/116553855 Summarized and Detailed Notes for Week 4 Lecture mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/116736084 The following topics are covered in this notes:
1.2) Population vs. Sample
1.2) Symbols used to denote various statistics and parameter
1.4) Simple Random Sampling via Dice Rolling
2.3) Graphs and Charts: Histogram
3.1) Measures of Central Tendency: Mean
3.2) Measures of Variation: Standard Deviation
5.2) The Mean and Standard Deviation of a Discrete Random Variable
6) The Normal Distribution
8) Hypothesis Tests about a Population Mean]]> 2016-07-21 03:20:32 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/116736084 Tutorial Set mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/116928771 final 1415.pdf
  • Section A:
    • Q7, Q9
  • Section C:
    • Q2c, Q2d

final 1516.pdf
  • Section A:
    • Q12, Q13, Q14
  • Section B:
    • Q3a, Q3b
]]> 2016-07-25 13:58:58 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/116928771 Video Lectures mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/117238038 5.1a) Random variables

5.1b) Discrete and continuous random variables

5.1c) Constructing a probability distribution for random variable

5.2a) Probability Density Functions

5.2b) Mean and Variance of Discrete Random Variables

5.1d to 5.2c) Example of how to use random variables to model a checkout line

5.3) Binomial Distribution

5.4) Poisson Distribution
]]> 2016-07-31 09:25:02 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/117238038 How to calculate the Mean and Variance of a Random Variable mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118316521 The following topics are covered in this notes:
5.2) The Mean and Standard Deviation of a Discrete Random Variable]]> 2016-08-15 17:50:24 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118316521 Topic 5 from intmath.com mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118334036 All Topic 5 concepts can be found in Chapter 11 to Chapter 13 of:

The advantage of this website is that it contains many examples and solutions related to Topic 5; in case you want more practice problems while preparing for your MMU exams
]]> 2016-08-15 19:44:05 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118334036 Proof of Shortcut Formulae for Variance  mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118721264 https://proofwiki.org/wiki/Variance_as_Expectation_of_Square_minus_Square_of_Expectation]]> 2016-08-18 10:22:56 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118721264 Summarized and Detailed Notes for Week 7 Tutorial mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118722919 The following topics are covered in this notes:
4.1) Probability Basics
4.2) Sample Space, Events, and Sets
4.3) Properties of Probability
4.4) Tree Diagram
5.1) Discrete Random Variable
5.2) The Mean of a Discrete Random Variable]]> 2016-08-18 10:36:58 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118722919 Summarized and Detailed Notes for Week 7 Lecture mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118722966 The following topics are covered in this notes:
4.1) Probability Basics
4.2) Sample Space, Events, and Sets
4.3) Properties of Probability
4.4) Tree Diagram
5.1) Discrete Random Variable
5.2) The Mean of a Discrete Random Variable]]> 2016-08-18 10:37:17 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118722966 final 1415 (Questions) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118728299 2016-08-18 11:19:23 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118728299 final 1516 (Questions) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118728332 2016-08-18 11:19:38 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118728332 final 1415 (Solutions) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118771538 2016-08-18 15:24:39 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118771538 final 1516 (Solutions) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118771599 2016-08-18 15:24:54 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118771599 Supp Exams mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118814560 Trim 3, 2015/2016
  • Q4a, Q4b, Q4c

Trim 2, 2015/2016
  • Section A:
    • Q15
  • Section B:
    • Q3a, Q3b, Q3c, Q3d

Trim 2, 2014/2015
  • Section C:
    • Q2a, Q2c, Q2d
]]> 2016-08-18 18:31:21 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118814560 Proof of Mean and Variance of Binomial and Poisson Distributions mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118841514 Binomial & Poisson

Binomial

Poisson
]]> 2016-08-18 22:41:07 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118841514 Poisson Limit Theorem mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118841707
  • https://en.wikipedia.org/wiki/Poisson_limit_theorem
  • http://www.math.wm.edu/~leemis/chart/UDR/PDFs/BinomialPoisson.pdf
  • http://www.oxfordmathcenter.com/drupal7/node/297
    • ]]>     2016-08-18 22:43:45 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118841707     How to decide whether the Poisson or the Binomial distribution should be used to answer an exam question? mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118847786 http://personal.maths.surrey.ac.uk/st/J.Deane/Teach/se202/poiss_bin.html]]> 2016-08-19 00:13:48 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118847786 Calculator mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118847808 Binomial Calculator

    Poisson Calculator
    ]]>     2016-08-19 00:14:06 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118847808     Example Application of Poisson distribution: Computer Network mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118849589 http://www.cs.tufts.edu/comp/250P/classpages/Poisson.html]]> 2016-08-19 00:36:21 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118849589 Example Application of Poisson distribution: Reliability Engineering mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118849940 https://src.alionscience.com/pdf/POIS_APP.pdf]]> 2016-08-19 00:41:53 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118849940 Example Application of Binomial and Poisson distribution: Military Reliability Modeling mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118851646 http://www.usma.edu/math/military%20math%20modeling/ps1.pdf]]> 2016-08-19 01:05:18 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118851646 Example Application of Binomial Distribution: Majority Decision Making for a Jury mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118853015
  • https://en.wikipedia.org/wiki/Condorcet%27s_jury_theorem
  • http://www.statisticalconsultants.co.nz/blog/condorcets-jury-theorem.html
    • ]]>     2016-08-19 01:19:22 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118853015     Shortcut to Main Menu mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118873290 https://padlet.com/mmuvictor/DPS5018_main]]> 2016-08-19 06:40:47 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/118873290 Binomial Distribution Table from MMLS mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/119166228 2016-08-22 14:45:49 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/119166228 Poisson  Distribution Table from MMLS mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/119166284 2016-08-22 14:46:03 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/119166284 Normal Approximation to the Binomial mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/119684007 http://onlinestatbook.com/2/normal_distribution/normal_approxM.html]]> 2016-08-24 19:05:15 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/119684007 e (Euler's Number) mmuvictor https://padlet.com/mmuvictor/DPS5018_topic_5/wish/121654287 http://www.mathsisfun.com/numbers/e-eulers-number.html]]> 2016-09-06 01:22:24 UTC https://padlet.com/mmuvictor/DPS5018_topic_5/wish/121654287