Supporting materials for Part I Probability & Statistics 2004/05

Revision checklist

You might be interested in this checklist which I use when setting exams.

New web page

There is now a web page to accompany the new fifth edition of "A Basic Course in Statistics": see www.basicstatistics.co.uk.

Use of Excel

Here is a worksheet which explains how Excel can be used to perform tasks in Probability & Statistics. If you want to do the exercise at the end (worth 10 marks, replacing your worst quiz), the data are here, now updated for this year.

Solutions to exercises

Here are the solutions to the exercises (pdf file).

Coursework

The fourth coursework is now ready for downloading: it is due in by Tuesday 5 April. Follow instructions on the coursework generator page.

Course Notes

This year there is to be a handout which includes all the lecture notes previously published on this web page, all the tutorial sheets, and additional material as well. You are welcome to look at the notes available from this page, but it will not be necessary to print them out.

General Information, including lecture plan

• Statistics

  • Chapter 0 - Introduction
  • Chapter 1 - Exploratory Data Analysis

• Probability

  • Chapter 0 - Introduction
  • Chapter 1 - Experiments and Events
  • Chapter 2 - Probability
  • Chapter 3 - Discrete Random Variables
  • Chapter 4 - Continuous Random Variables
  • Chapter 5 - Bivariate Distributions

• Statistics again

  • Chapter 2 - Introduction to Parametric Statistics
  • Chapter 3 - Parametric Hypothesis Testing
  • Chapter 4 - Confidence Intervals
  • Chapter 5 - Linear Regression
  • Chapter 6 - Non-Parametric Tests

Archive material

Past exam papers

Please note that the exam papers listed here are only accessible if you are accessing this page from within the City University network. Exam papers not listed here may be obtained from the Cass library web page.

• Brief solutions for summer 2004
• Solutions for summer 2003
• Summer 2002 with numerical answers (PDF)
• Summer 2001 (PDF) with numerical answers
• Summer 2000 (PDF) with numerical answers
• Summer 1999 (PDF) (formula sheet missing) with numerical answers
• Summer 1998 with numerical answers
• Summer 1997 with solutions
• Summer 1996 with solutions
• Summer 1995 with solutions
• Summer 1994

Past progress tests

• January 2004, including solutions
• December 2002, including solutions
• December 2001, including solutions
• December 2000, including solutions
• December 1999
• January 1999, with solutions.
• December 1998, with solutions.
  
• December 1997
• December 1996.

Web Resources

These abbreviations will be used for reference purposes.

And now some interactive resources, mostly requiring Java:

Basic probability

Venn diagrams (PBS)

Discrete random variables

Discrete random variables (CS)

The Poisson distribution (CS)

Binomial distribution (PBS)

Normal approximation to Binomial (RVLS)

Continuous random variables

Normal density function (PBS)

Normal probability calculator (CS)

t probability calculator (PBS)

Chi-square probability calculator (PBS)

Probability calculator for many distributions (PBS)

Other probability-related

The Central Limit Theorem (CS)

Correlation (CS)

Buffon's needle (CS)

Law of Large Numbers (PBS)

Distribution of poker hands (Urbana-Champaign)

Monty Hall (Urbana-Champaign)

Exploratory data analysis and descriptive statistics

Histogram (PBS)

Histograms: bin widths and starting points (RVLS)

Mean and median (RVLS)

Various data sets and data plotting tools (Urbana-Champaign)

Hypothesis testing

Tests of proportions (CS)

Confidence intervals

Confidence interval for mu, sigma unknown (CS)

Confidence interval for the mean (PBS)

Confidence interval for the mean (RVLS)

Confidence interval for a proportion (RVLS)

Linear regression

Scatterplots (PBS)

Linear Regression (CS)

Regression and correlation (PBS)

Guessing the regression line (RVLS)

Identifying the correlation coefficient (Urbana-Champaign)

Other statistics-related

Distribution of the sample mean (PBS)

Distribution of the sample mean (RVLS)

Goodness of fit (RVLS)

Chi-square goodness of fit (Urbana-Champaign)

2x2 Contingency tables (RVLS)