MCS 342 Problem Assignments

1. Statistics

Chapters to review	Topics	Problems	Due Date
2-3	The probability space model and discrete random variables	Problems 1-5 of "Probability Review Problems" (ps) (pdf)	F 2/11
4-7	Continuous random variables, multivariate probability distributions, functions of random variables, Central Limit Theorem	Problems 6-10 of "Probability Review Problems" (ps) (pdf)	M 2/14
7	Functions of random variables	Extra credit: (1) Derive a formula for the pdf of X^Y when X and Y are continuous random variables having pdfs and P(X>0) = 1. Determine formulas and graphs for the pdfs of X+Y, Y - X, XY, Y/X, and X^Y when X and Y are independent, uniform(0,1) r.v.s .

In this "Probability Review Problems" assignment, unlike most assignments, you are encouraged to work jointly with others in solving the problems. In doing so, you must make sure that everyone in your group understands the math behind each problem. Still, when it comes to writing up the solutions, you must do so, as usual, on your own and in your own words. As a matter of academic honesty, acknowledge those who helped.

Regular homework rules

Students are encouraged to discuss course topics with one another. On assigned work, though, you are expected to do the work on your own. Your discussion with other students should be confined to matters related to understanding the problems and general approaches to doing problems, and you should acknowledge those who help you in this way. You should not collaborate on problem solutions unless directed otherwise.

Acknowledge your sources (people and texts).
In nontrivial problems, show how you get your answers.
Turn in neat, well-written solutions, not messy first drafts. Trim "fringes." Staple multiple-page submissions.
Do not copy collaborative solutions; write up solutions in your own words.
Turn in homework on time. Each class day late reduces the possible points by 33%.
Do extra credit problems entirely on your own.

Honor pledge: "On my honor, I pledge that I have not given, received, or tolerated others' use of unauthorized aid in completing this work."