Sample Quizzes and Tests for MATH 371


Dr. L's Homepage     Longwood Department of Mathematics and Computer Science

Cook-Cole College of Arts & Sciences       Longwood University Home Page

Please feel free to use the sample quizzes and tests below to help you study for this class.  I have arranged the quizzes by subject matter.  These quizzes and tests were given in similar classes taught by me at Athens State University (anything before Fall 2003), the University of Alabama in Huntsville (Fall 2003 & Spring 2004), and Longwood (since Fall 2004).  Because I like to change things up every now and then, I thus have the following disclaimer:  These will not be the same quizzes and tests that you will have in this class and this semester I may not cover the same topics in the same order as previous semesters.

QUIZZES

Semester
Quiz Number
Topics Covered
Fall 2000 Quiz 1 Sample Spaces, Events, Properties of the Probability Function
Spring 2010 Quiz 1

Solution

Sample Spaces, Events, Properties of the Probability Function
Fall 2001 Quiz 1 Sample Spaces, Frequency Histograms, Sample Means and Standard Deviations
Spring 2002 Quiz 1 Frequency Histograms, Sample Means and Standard Deviations
Fall 2003 Quiz 2 Frequency Histograms, Basic Descriptive Statistics (Means and Standard Devs.)
Spring 2002 Quiz 2 Sample Spaces & Events, Properties of the Probability Function
Spring 2004 Quiz 2 Basic Probability Rules, Combinatorial Probability, Expected Value of a Random Variable
Fall 2004 Quiz 2

Solution

Basic Probability Rules, Combinatorics and Combinatorial Probability
Fall 2005 Quiz 2

Solution

Combinatorics and Combinatorial Probability
Fall 2007 Quiz 2

Solution

Sample Spaces, Random Variables, Basic Probability Laws, Combinatorial Probability
Spring 2010 Quiz 2

Solution

Combinatorics and Combinatorial Probability, Random Variables
Fall 2000 Quiz 3
Solution for Quiz 3
Discrete and Continuous Probability Functions, Combinatorics
Fall 2001 Quiz 3 Combinatorics and Combinatorial Probability
Spring 2002 Quiz 3 Combinatorics and Combinatorial Probability
Fall 2003 Quiz 3 Properties of the Probability Function, Combinatorial Probability
Fall 2005 Quiz 3

Solution

Properties of the Probability Function, Combinatorial Probability
Fall 2007 Quiz 3

Solution

Combinatorial Probability, Conditional Probability, Discrete Random Variables
Fall 2004 Quiz 3

Solution

Conditional Probability & Independent Events
Fall 2001 Quiz 4 Conditional Probability & Independence of Events
Spring 2002 Quiz 4 Conditional Probability & Independence of Events
Fall 2000 Quiz 2 Conditional Probability, Bayes' Theorem
Fall 2005 Quiz 4

Solution

Conditional Probability, Bayes' Theorem
Spring 2002 Quiz 5 Law of Total Probability & Bayes' Theorem
Spring 2004 Quiz 3 Combinatorial Probability, Conditional Probability, Bayes' Theorem
Fall 2001 Quiz 5 Conditional Probability, Bayes' Theorem

Spring 2010

Quiz 3

 

Solution

Conditional Probability, Law of Total Probability & Bayes' Theorem
Spring 2010 Quiz 4

Solution

Discrete Random Variables, the Distribution Function, the Binomial and Hypergeometric Distributions
Fall 2001 Quiz 6 Random Variables & Mathematical Expectation
Fall 2003 Quiz 4 Properties of Mathematical Expectation, Hypergeometric Distribution
Fall 2001 Quiz 6v2 Mathematical Expectation, Binomial Distribution
Spring 2002 Quiz 6 Random Variables, Expected Value, Discrete Distributions
Spring 2010 Quiz 5

Solution

Random Variables, Expected Value, Discrete Distributions
Fall 2005 Quiz 5

Solution

Discrete Random Variables; Moment Generating Functions
Spring 2004 Quiz 4 Discrete Distributions, Expected Value, Moment Generating Functions
Fall 2004 Quiz 4

Solution

Discrete Probability Distributions, Mathematical Expectation
Fall 2000 Quiz 4 Binomial and Geometric Distributions, Combinatorial Probability
Spring 2002 Quiz 7 Discrete Probability Distributions
Fall 2004 Quiz 5

Solution

Moment Generating Functions, Continuous Probability Distributions
Spring 2010 Quiz 6

Solution

Moment Generating Functions, the Normal Distribution
Fall 2007 Quiz 4

Solution

Continuous distributions including the normal distribution.  Dependent and independent random variables.  Functions of a random variable.
Fall 2005 Quiz 6

Solution

Continuous distributions including the normal distribution.  Functions of a random variable.
Fall 2001 Quiz 7 Random Variables, Densities and Distributions (p.d.f.s and c.d.f.s)
Spring 2002 Quiz 8 Continuous Distributions (p.d.f.s and c.d.f.s)
Spring 2004 Quiz 5 Continuous Distributions (p.d.f.s and c.d.f.s), the Normal Distribution
Fall 2000 Quiz 5 Densities and Distributions
Spring 2010 Quiz 7

Solution

Distributions of Functions of a Single Random Variable, Moment Generating Functions, Poisson and Exponential Distributions
Fall 2003 Quiz 8 C.d.f.s, the Poisson Process, the Normal Distribution
Fall 2004 Quiz 6

Solution

The Normal Distribution
Fall 2001 Quiz 8 Normal Random Variables
Spring 2002 Quiz 9 Normal Random Variables
Spring 2010 Quiz 8

Solution

Multivariate Distributions (Discrete and Continuous), Mathematical Expectation for Multivariate Distributions
Spring 2010 Quiz 9

Solution

Moment Generating Functions, Distributions of Sums of Independent Normal Random Variables, Distribution of the Sample Mean when Sampling from a Normal Population
Spring 2002 Quiz 10 Sampling Distributions, Confidence Intervals

TESTS

Semester Test

Topics Covered

Fall 2000 Test 1 Probability and Combinatorics
Fall 2001 Test 1 Sample Means and Variances, Relative Frequency Distributions, Basic Probability Laws, Combinatorics and Combinatorial Probability (binomial and hypergeometric distributions in disguise), Conditional Probability, Bayes Theorem
Spring 2002 Test 1 Covers Sections 1.2, 1.2, 2.1-2.5 of Hogg & Tanis, 6th Edition
Fall 2003 Test 1 Covers Sections 1.1, 1.2, 2.1-2.5 of Hogg & Tanis, 6th Edition
Spring 2004 Test 1 Covers Sections 1.1, 1.2, 2.1, 2.2, 2.3, 2.4, 2.5, and 3.1 of Hogg & Tanis, 6th Edition
Fall 2004 Test 1

Solution

Probability (including conditional probability, Bayes' Theorem, etc.)
Fall 2005 Midterm

Solution

Probability (including conditional probability and Bayes' Theorem), Mathematical Expectation
Fall 2007 Midterm

Solution

Probability (including conditional probability and Bayes' Theorem), Mathematical Expectation, Discrete probability distributions including Bernoulli, Binomial, Uniform, Geometric, Hypergeometric; Mathematical Expectation
Spring 2010 Midterm

Solution

Probability (including conditional probability and Bayes' Theorem), Mathematical Expectation, Discrete probability distributions including Bernoulli, Binomial, Uniform, Geometric, Hypergeometric; Mathematical Expectation; Basic continuous distribution (probability density and distribution functions, etc.)
Fall 2000 Test 2
Solution for Test 2
Combinatorial Probability, Densities and Distributions including the Binomial, Hypergeometric, and Normal Distributions, Random Variables, Expected Value and Variance
Fall 2001 Test 2 Random Variables and Distributions (including the Binomial, Hypergeometric, Uniform (continuous and discrete), and Normal), Mathematical Expectation, c.d.f.s and p.d.f.s, Sampling Distributions (sample mean only)
Spring 2002 Test 2 Covers Sections 3.1-3.3, 4.1, 4.2 (Uniform Distribution only), 4.4, 6.1-6.4, 7.2 of Hogg & Tanis, 6th Edition
Fall 2003 Test 2 Covers Sections 3.1-3.5, 4.1, 4.2, 4.4, and 5.1 of Hogg & Tanis, 6th Edition
Spring 2004 Test 2

Solution

Continuous random variables; the normal distribution; moment generating functions; multivariate probability distributions; hypergeometric distribution; pdfs and cdfs for distributions. 
Fall 2004 Test 2 Discrete, Continuous, and Multivariable Probability Distributions (Covers Sections 3.1-3.4, 4.1, 4.2, 4.4, and 5.1 of Hogg & Tanis, 6th Edition)
 

Dr. L's Homepage     Longwood Department of Mathematics and Computer Science

Cook-Cole College of Arts & Sciences       Longwood University Home Page