MA395-A Midterm Exam Study Guide

The midterm will cover all material through the end of Chapter 3 in the text, including any supplemental material in the notes and/or handouts.

The exam will consist of three sections:

• Section 1: A matching section with terms definitions
• Section 2: Proofs. This section will contain:
  • A proof you have seen before - one of the following (see notes and handouts on the website)
    • Prove Chebychev's Inequality for a discrete random variable
    • Prove Bernoulli's Law of Large Numbers
  • Two additional proofs. These will be short, something along the lines of : Show that E(x-u)^2=E(X^2)-[E(x)]^2
• Section 3: Applications (12 problems) These will be similar to the problems on the assignments.

Formulas listed on this document will be provided during exam.

The terms will be taken from the following list:

• experiment
• event
• simple event
• sample space
• discrete sample space
• Kolmogorov axioms (just know what they are; you don't have to state them. See Definition 2.6)
• permutation
• combination
• conditional probability
• independent
• dependent
• partition
• random variable
• random sample
• discrete random variable
• probability function
• probability distribution
• expected value
• standard deviation
• binomial experiment
• kth moment of a random variable about the origin
• kth moment of a random variable about its mean
• moment-generating function