|
Week &
Date of Class |
Assignment(s) Due/Quiz or Test
Scheduled |
Material Covered
|
Homework Assignments |
|
Week 15
|
Final Exam
Scheduled 3:00 - 5:30 Wednesday April 28. The final exam should
be ready to take by 8:00 a.m. on Tuesday (possibly sooner). You must
take it by 5:30 on Wednesday. |
|
Week 14
4/22 |
|
- Review for
Final |
|
|
Week 14
4/20 |
|
- Consequences
of the Central Limit Theorem: Confidence Interval for a Population
Mean |
Practice Homework:
Schaum's: 6.5, 6.6, 6.7, 6.8, 6.32,
6.33, 6.35 |
|
Week 13
4/15 |
Quiz 8 (the
last quiz) will be ready by 5:00 today (maybe sooner). You must complete it
before class on 4/20. |
- Introduction
to the Central
Limit Theorem |
Practice Homework:
Supplemental Exercises (Normal and CLT):
5.4-1, 5.4-2, 5.4-3, 5.4-6, 5.4-7, 5.4-8, 5.4-9
Schaum's: 4.25 (proof of the CLT), 5.5,
5.6, 5.7, 5.54, 5.55, 5.56, 5.130 |
|
Week 13
4/13 |
|
- Sums of
Independent Random Variables
- Sums of
Independent Normal Random Variables. |
Practice Homework:
Supplemental Exercises (Normal and CLT):
5.3-1, 5.3-2, 5.3-3, 5.3-4, 5.3-7 (a), 5.3-8, 5.3-9 (a,b), 5.3-10, 5.3-11,
5.3-13, 5.3-14, 5.3-15
Schaum's: 5.3 (with replacement only),
5.4, 5.6, 5.7 |
|
Week 12
4/8 |
Quiz 7 will be
ready by 5:00 today (maybe sooner). You must complete it before class
on Tuesday 4/13. It will cover Multivariate Distributions (material
through 4/6) |
- Sampling
Distribution Theory
- Expectation
and Variance of the Sample Mean Statistic |
Practice Homework:
Schaum's: Read pages 154 - 156 (up to
Theorem 5-2). Work Problems 3.16, 3.38, 3.75, 3.76, 3.79, 4.94, 4.101,
5.1 |
|
Week 12
4/6 |
|
- Expected
Value for Multivariate Distributions and Independent Random Variables. |
Practice Homework:
Schaum's More Joint Distribution and
Independence Problems (Including Mathematical Expectation): 2.94, 2.95,
2.100, 3.5, 3.6, 3.7, 3.48, 3.49, 3.50, 3.51, 3.52, 3.53, 3.55, 3.56 |
|
Week 11
4/1 |
|
- More on Independent
Random Variables and their Properties |
Practice Homework: Finish
the homework assigned on 4/1. |
|
Week 11
3/30 |
Quiz 6 will be
ready after class today. You must complete it before class on Thursday
4/1. It covers Poisson and Exponential distributions and finding the
distribution of a function of a random variable. |
- More on the
Distribution of a Function of a Random Variable
- Joint
Distributions |
Practice Homework: Finish the homework assigned on 3/25.
Exponential Drill Problems: 4.69,
4.70, 4.71, 4.73, 4.77, 4.78, 4.81, 4.82
Schaum's Joint Distribution and
Independence Problems:
2.8, 2.9, 2.10, 2.11, 2.12, 2.13, 2.14, 2.54 - 2.57, 2.81, 2.86, 2.88 |
|
Week 10
3/25 |
|
- Distribution
of a Function of a Random Variable |
Practice Homework:
Schaum's: 2.18, 2.19, 2.20, 2.62,
2.64 (should be (2*Pi)^(1/2)), 2.66, 2.68 |
|
Week 10
3/23 |
|
- The Poisson and Exponential Distributions |
Practice Homework:
Finish all problems assigned on 3/18.
|
|
Week 9
3/18 |
Quiz 5 will be
ready after class today. You must complete it before class on Tuesday
3/23 |
- More on
Moment Generating Functions |
Practice Homework:
Schaum's: Finish the problems
assigned on 3/16, add problems 4.22, 4.23, 4.90 - 4.93
Discrete R.V. Exercises: 3.31 -
3.39, 3.61 (c) |
|
Week 9
3/16 |
Homework 1 Due by Friday 3/19
at Noon |
- More on the
Normal Distribution
- Moment Generating Functions |
Practice Homework:
Schaum's: Finish the problems
assigned on 3/2, add problem 4.16
Discrete R.V. Exercises: 3.57 -
3.60, 3.61 (a and b only), 3.62, 3.85 |
|
Spring Break!
|
|
Week 8
3/4 |
Midterm Exam
Ready by End of Class Today. Due by 5:00 p.m. Friday 3/5. |
- Review for
Midterm
- More on the Normal Distribution |
Practice Homework:
Schaum's: Finish the problems
assigned on 3/2
|
|
Week 8
3/2 |
|
- More on
Continuous Random Variables (the cdf)
- The Normal Distribution |
Practice Homework:
Schaum's: 4.12 - 4.15, 4.72 -
4.85
|
|
Week 7
2/25 |
|
- Continuous
Random Variables and Mathematical Expectation |
Practice Homework:
Schaum's: 2.5, 2.6, 2.7, 2.47 -
2.53, 3.4, 3.9, 3.10, 3.12, 4.28
|
|
Week 7
2/23 |
Quiz 4 will be
ready after class today. You should complete it by
the beginning of class on Thursday. It will cover material through 2/18
(inclusive). |
- More on
Mathematical Expectation
- Continuous
Random Variables |
Practice Homework:
Schaum's: 3.1- 3.3, 3.43, 3.46
Discrete R.V. Exercises: 3.40 -
3.49 (finish all problems that involve variation and standard deviation.) |
|
Week 6
2/18 |
|
- Mathematical
Expectation |
Practice Homework:
Schaum's: 3.1- 3.3, 3.43, 3.46
Discrete R.V. Exercises: 3.40 -
3.49 (note that we have not yet covered how to find the variation and
standard deviation of a random variable, so don't worry about those
computations, yet.) |
|
Week 6
2/16 |
|
- More on
Bernoulli Trials including the Geometric Distribution
- Mathematical
Expectation |
Practice Homework:
Schaum's: 4.52
Discrete R.V. Exercises: 3.1 - 3.29
(use the Virtual Labs on 3.29) (Note that some of these problems are to help
you review general discrete probability distributions, the binomial
distribution, and the hypergeometric distribution.)
|
|
Week 5
R 2/11 |
Quiz 4 will be
ready by 8:00 a.m. tomorrow, Friday, 2/12. You should complete it by
the beginning of class on Tuesday. It will cover material through 2/11
(inclusive). |
- The
Hypergeometric Distribution
- Bernoulli
Trials and the Bernoulli and Binomial Distributions |
Practice Homework:
Schaum's: 4.1 - 4.3, 4.5, 4.6,
4.27, 4.54, 4.55, 4.61 - 4.63, 4.65 - 4.68, 4.98 - 4.100. Note:
Use the binomcdf and binompdf keys on your calculator for computations
involving the binomial distribution.
|
|
Week 5
T 2/9 |
|
- Discrete
Random Variables and their Probability Mass Function (pmf)
- Cumulative
Distribution Function (cdf)
-The Discrete
Uniform Distribution |
Practice Homework:
Schaum's: 2.1 - 2.4, 2.38 - 2.46,
2.81
|
|
Week 4
R 2/4 |
Quiz 3 will be
ready by 8:00 a.m. tomorrow, Friday, 2/5. You should complete it by
the beginning of class on Tuesday. It will cover material through 2/4
(inclusive). |
Bayes'
Theorem, Review of Probability Problems (make sure you look at the *
problems assigned from last class period). |
Practice Homework:
Schaum's:
1.16 - 1.17, 1.56 - 1.58
Prob. Drill Probs:
2.43 - 2.48 |
|
Week 4
T 2/2
Groundhog Day |
|
More
Conditional Probability, Law of Total Probability and Independent Events |
Practice Homework:
Schaum's:
1.81, 1.82, 1.83, 1.85, 1.86*, 1.87, 1.88, 1.89*, 1.90,
1.93*, 1.94, 1.95, 1.96*
Prob. Drill Probs:
2.35 - 2.42 |
|
Week 3
R 1/28 |
Quiz 2 will be
ready by 8:00 a.m. tomorrow, Friday, 1/29. You should complete it by
Monday, 2/1 at 5:00 p.m. It will cover material through 1/28
(inclusive). |
Conditional
Probability, Law of Total Probability, Independent Events |
Practice Homework:
Schaum's:
1.8 - 1.15, 1.51 - 1.55
Prob. Drill Probs:
2.25 - 2.34 |
|
Week 3
T 1/26 |
Quiz 1 should
be completed before class starts today. |
Combinatorial Probability |
Practice Homework:
Schaum's:
1.33, 1.34, 1.35 (using Method 2), 1.36, 1.38
Prob. Drill Probs:
2.20 - 2.24
Combinatorial answers
to some poker hands: The notation (x,y) will stand for the combination
"x choose y". Four of a
kind: (13,1)(4,4)(48,1)/(52,5); Full
House: (13,1)(4,3)(12,1)(4,2)/(52,5); Three of a
Kind: (13,1)(4,3)(12,2)(4,1)(4,1)/(52,5); Two Pairs:
(13,2)(4,2)(4,2)(44,1)/(52,5); One Pair - hmmmm......see if YOU can do it! Now for
the fun of it, see if you can determine the probability of a straight, a
straight flush and a royal flush!
|
|
Week 2
R 1/21 |
Quiz 1 ready
by end of class today. Will consist of material covered through 1/19
(inclusive). |
Combinatorics (Permutations and Combinations) |
Practice Homework:
Schaum's:
1.18 - 1.32 (look at these problems first), 1.59 -
1.67, 1.69 - 1.76
Prob. Drill Probs:
2.13 - 2.19 (these are nice b/c the answers are in combinatorial form)
|
|
Week 2
T 1/19 |
|
More Important Theorems on Probability, Computing
Probability by Applying the Theory |
Practice Homework:
Prob. Drill Probs:
2.30
Schaum's:
1.6 f-g, 1.7 e, 1.8, 1.9
|
|
Week 1
R 1/14 |
Don't Forget
Easy
Quiz 1 is Due by Noon on Friday 1/15! |
Theoretical
Probability (w/ Equally Likely Sample Spaces), Basic Set Theory, The Axioms
of Probability, Important Theorems on Probability
|
Practice Homework:
Prob. Drill Probs:
2.8 - 2.12 (try to do these problems before the Schaum's problems)
Schaum's:
1.4 , 1.5, 1.6 a - e, 1.7 a- d, 1.47 - 1.49
|
|
Week 1
T 1/12 |
Easy Quiz
1 (Due by Noon on Friday 1/15) |
Random Experiments, Sample Spaces, Events, Random
Variables, Empirical Probability |
Practice Homework:
Schaum's:
1.1, 1.2, 1.3
Prob. Drill Probs:
2.5 - 2.8
|