Test Thurs April 17 will cover core problems [F] Finite math section of book Chapters 1 and 2 and [P] 2 (Markov chains) and the problems from past finals.
Spring 07 12 (from last time)
Fall 06, #15,16,18
Spring 06, #15-19
Fall 05, #9,13, 17
Spring 05, #13,14,15,17
Fall 04, #5,6,7,16
Spring 04, #15,16,19
Spring 03, #9,10,13,14,15
Fall 02, #15,16,17

Test Thurs. March 27 will cover core problems from [P] Chapters 3,4 and 5. Also material from previous exams plus material assigned but not covered on past exam (e.g. multinomial coefficients and least squares fit) The following questions from past finals. Note some were assigned before.
Spring 2007 #9-13,15
Fall 2006, #9-13
Spring 2006, #9-14
Fall 2005, #1,2,4,5,6
Spring 2005, #9-12,16
Fall 2004, #11,15,17,18
Spring 2004 #11-14,17
Spring 2003 #1,2,4
Fall 2002 #11-14
Also the following problems on Bivariate Distributions.

1. Suppose the joint p.d.f. of a pair of random variables on the rectangle 0 < x < 2, 0 < y < 1 is given by f(x,y) = 1/2. Compute Prob(X > Y).

2. Suppose the joint p.d.f. of a pair of random variables on the rectangle 0 < x < 2, 0 < y < 1 is given by f(x,y) = xy. Compute Prob(X > Y)

3. Suppose the joint p.d.f. of a pair of random variables on the first quadrant 0 < x, 0 < y is given by f(x,y) = 6exp(-(2x+3y)) (exp(x) = e^x). Assume a > 0.
Compute Prob(X > a), Prob(Y > a), Prob(min(X,Y) > a), Prob(X > Y)

4. Suppose the joint p.d.f of n-random variables x(k), k = 1,...,n on the region 0 < x(k) < 2 for k = 1,...,n is f(x) = 1/(2^n). Let Y = x(1) + x(2) + .... + x(n)
Compute E(Y) and E(Y^2).
Hint. For independent random variables we have the means and variances add.

Please don't look at answers till you have done them.
Ans. #1 3/4, #2 7/8, #3 exp(-2a), exp(-3a), exp(-5a), 3/5,
#4 E(Y) = n E(Y^2) - E(Y)^2 = variance = n/3 so E(Y^2) = n*n + n/3

Test Thurs Feb 28 will cover the problems for [P] Chapters 1,2 and 3.1 ([P] means Probability and Statistics)
and the following questions from past finals.
Problems 1-8 from Spring 07.
Problems 6,7,8,11 from Fall 06.
Problems 7,8,11 from Spring 06.
Problems 14,15,16 from Fall 05.
Problems 6,7,8 from Spring 05.
Problems 9,10 from Fall 04.
Problems 6-10 from Spring 04.
Problems 7,8 from Fall 03.
Problems 16,17,18 from Spring 03.
Problems 7-10 from Fall 02.

Test Thurs Feb. 7 will cover core problems chapters 15 and 16 from Steward Calculus.
15.1: 1,6,11,30,32,53-58
15.2: 2,3,11
15.3: 1,4,5,16,21,51,66,83
15.4: 2,12,20,24,31
15.5: 4,8,16,37
15.6: 39,40,41 (tangent plane only)
15.7: 1,3,5,11,37
15.8: 3-6, 18,19,38,39
16.1: 3,12,17
16.2: 4,5,14,20,24
16.3: 3,10,24,39,43
and the following questions from past finals.
Problems 1-5, 14 from Fall 06 final.
Problems 1-5 from Spring 06 final.
Problems 3,7,8,10,11 from Fall 05 final.
Problems 1-5 from Spring 05 final.
Problems 1-4,14 from Fall 04 final.
Problems 1-5 from Spring 04 final.
Problems 1-6 from Fall 03 final.
Problems 3,7,8,11,12 from Spring 03 final.
Problems 1-6 from Fall 02 final.