MATH 335: Probability and Statistics I -- Fall 2007

This course is the first in a year-long sequence on probability and statistics. The first semester will primarily be about probability theory, although we will try to foreshadow the statistical part when possible and the latter part of the semester will begin our study of statistics through the study of estimation of parameters.

Instructor:

Thomas Moore
Office Hours

Textbook:

• An Introduction to Mathematical Statistics and its Applications, fourth edition
  by Richard J.Larsen and Morris L. Marx,
  Prentice-Hall, 2006.

Links to other course information

• Goals
• Assessment
• Homework: Cumulative set
• Homework: Most recent assignments.

Classroom Links

• Problem of Points
  
• The "other" Fermat-Pascal problem
  
• Roll two dice
  
• The "other" Fermat-Pascal problem (Part B)
  
• Life table example
  
• Birthday simulation
  
• R code for Birthday Problem
  
• R code for full house simulation
  
• Expected values examples
  
• Empirical rule examples
  
• Buffon's needle problem
  
• Some historical estimates of pi using the Buffon Needle simulation.
  
• Order Statistics Examples
  
• Fumbles
  
• Normal curve stuff
  
• CLT stuff
  
• Roulette example
  
• Gamma distribution
  
• Iowa Poll results
  
• Confidence interval applet
  
• Simulation study for Tank Problem
  
• Results of Simulation study for Tank Problem
  

R functions and code

• .First
• Computing binomial and hypergeometric probabilities with R
• Putting a pdf onto a histogram
• The overlay function.
• The tabulate function.

Resource Links

• The R Project home page"
  

Other Links

• Careers in Statistics
  
• Graduate school in Statistics
  
• Internships in Statistics
  
• The Chance project