Probability (Math 4350)
Here is the syllabus.
Here is the book.
Here is last year's second test. You probably
shouldn't worry about not being able to do number 4 (it's just a twist
on the F/f theme, but we probably haven't seen enough similar
stuff this year to pull off the twist on a test).
Here is last year's final exam for your
enjoyment.
R, the software for the course is available for download free. The
main page is www.r-project.org.
As a convenience I am also providing a link to a
download page. Most of you will
want to select Windows then base then download (and run)
the installer R-2.7.1-win32.exe.
Class transcripts of R sessions:
Homework:
Due Tuesday, September 9
- Section 1.2 (1, 6, 7, 23 - hint use geometric series, 25, 26, 31)
Due Thursday, September 18
- Section 2.2 (1,2,6)
- Section 2.2 (8b) and find fX for this
random variable
- Section 2.2 (8e) and find fX for this
random variable
Due Thursday, September 25
- Section 3.1 (5,7,13,22a,23)
- Section 3.2 (6,10,22)
- Section 4.1 (7,17)
Due Tuesday, September 30
- Is P(A|B) + P(Ac|B) = 1. If so, prove, if
not, give a counterexample and fix the statement up so that it is
true, proving your result.
Due Tuesday, October 7
- Section 4.1 (22,34)
- Section 4.2 (2,6ab)
Due October 28
- Test rewrites
Due Friday, November 7
- Section 5.1 (9,33)
- Section 5.2 (5,36)
- Section 6.1 (8)
- Section 6.3 (13)
- Let X be Normal(μ,σ2). Compute
the moment generating function form X [HINT: complete the
square in the exponent]. Show that if X and Y are
independent and follow the
Normal(μX,σX2) and
Normal(μY,σY2) distributions
respectively then W = X + Y is
Normal(μX + μY,
σX2 +
σY2).
Due Tuesday, December 2
- Section 7.1 (7)
- Section 7.2 (4,10)
- Section 8.2 (1,2,8)
- Section 9.1 (1,4)
- solution here