PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
REVIEW SHEET FOR EXAM #1
MONDAY, APRIL 15
TOPICS
WHAT TO BRING



population v. sample, types of
sampling, sampling variation
observational study v. experiment
observational
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Winter, 2008
Tuesday, Jan. 15
Stat 321 – Lecture 5
Probability Rules (2.2)
Special case: In situations where the outcomes of an experiment are equally likely to occur (e.g.,
tossing a fair coin), the exact probability of an outcome is 1/N, where N is the
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Stat 321  HW 1 Solutions 1) This activity asks you to consider the value of statistics ratings that you and your classmates gave to Statistics in the Stat 321 Initial survey (1=completely useless to 9=extremely important). The responses of the first
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Stat 321  HW 1 Due beginning of class, Tuesday, Jan. 15 1) This activity asks you to consider the value of statistics ratings that you and your classmates gave to Statistics in the Stat 321 Initial survey (1=completely useless to 9=extremely importa
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
Homework E
1.
Let X1, , X12 represent the weights of the 12 boxes, which we can treat as i.i.d. with n = 12
(obviously), X = 12.02 oz, and X = 0.03 oz.
a. Let S12 = X 1 + + X 1
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
ASSIGNMENT FOR WEEK #7
Reading: First, read all of Section 2.5. This section reviews rescaling properties then discusses
linear combinations of independent random variables. W
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
ASSIGNMENT FOR WEEK #1
Reading: Chapter 1. This week, you will read a lot of material that we wont cover in class (other
than me answering questions), but you are still respons
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
Homework F
1.
Statement (ii) is the best answer: The variance of an estimator measures how close repeated values of the
estimator are to each other. This is the issue of precis
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
ASSIGNMENT FOR WEEK #3
Reading: Section 2.3. Theres a lot of material in this section, and we will cover some of it
Monday of week 4. But you should read the entire section now
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
Homework C
1.
Let X = the number of sampled contracts with cost overruns, so X ~ Bin(20, .2).
20
= =
a. P ( X 4) (.2) 4 (.8)16 = .2182
4
b.
=
=
P( X < 3) P( X= 0,1, 2)
20
2
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
Homework A
1.
a.
b.
c.
False. As indicated in parts b and c, whether or not we conclude that the new process is better
(meaning the true defect rate for the process is less tha
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
REVIEW SHEET FOR EXAM #2
MONDAY, APRIL 29
TOPICS
WHAT TO BRING
Conditional probability & independence
 definition of conditional probability
 testing for independence
 tree
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
REVIEW SHEET FOR FINAL EXAM
SUNDAY, JUNE 9, 2:10PM5:00PM, IN ROOM 14249
TOPICS
Jointly discrete random variables
 joint probability mass function
 how to calculate marginal
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
REVIEW SHEET FOR EXAM #3
MONDAY, MAY 13
TOPICS
I will provide the standard normal cdf
table, aka (z), from the textbook.
Discrete probability models

Binomial & Negative Binom
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
ASSIGNMENT FOR WEEK #9
Reading: First, skim Section 4.9. The concepts are more important than the mathematics in this
section. The author talks about the MSE of an estimator, w
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
Homework D
1.
a.
By linearity of expectation, R = R1 + R2 = 50 + 100 = 150.
b.
Since R1 and R2 are independent, we have
2
2
2
R =+ = 52 + 102 125 R = 125 = 11.18
R1
=
R2
a.
B
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
Homework B
1.
The tree diagram below shows the possibilities in this scenario (D = deploy).
0.99
D1
0.98
D2
0.01
0.02
2.
a. Using the tree diagram, P(D1 D2) = 0.99 + (0.01)(0.9
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
ASSIGNMENT FOR WEEK #5
Reading: This week, we begin Chapter 4 (were skipping Chapter 3, and well come back to
Chapter 2 later). Read Sections 4.14.4, which discuss six importa
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2013
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2013
ASSIGNMENT FOR WEEK #8
Reading: First, return to Section 2.5, and focus on the subsection The Mean and Variance of a
Sample Mean (pp. 123124).
Next, read Section 4.2 starting
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2014
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2014
EXAM #1, VERSION #2
You will need to follow along with your exam.
1.
a.
b.
The observational units are silicon pillars (n = 50).
The distribution of heights of these 50 silicon
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Stat 321 Day 5
Probability Rules (2.2)
Last Time Probability
Definition of probability: longrun relative frequency. Determining probabilities is hard Need to follow basic rules, our intuition is often rather faulty. Empirical probability
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Stat 321 Day 4
Probability (2.1)
Reminders
Lab 2 due Friday
Will discuss similar issues in lecture Ask questions in class/office hours/email Can download data from web
HW 1 due Tuesday
Ch. 1 questions?
Example 3: More Matching
1 2
3
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Stat 321 Day 1
Probability and Statistics for Scientists and Engineers
1
Syllabus Highlights
Office hours Webpages Email alias Course structure
Role of homeworks Role of textbook Role of quizzes Role and availability of lecture notes/p
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Winter, 2008 Stat 321 Lecture 1 Descriptive Statistics (Ch. 1) Describing Quantitative Data 1) Shape 2) Center 3) Spread 4) Unusual observations Example: Data from 1999 New Car Buyer's Guide
15
Monday, Jan. 7
15
Frequency
10
Frequency
24 29 34
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Winter, 2008 Stat 321 Lecture 2 Descriptive Statistics cont. (Ch. 1) Numerical Summaries: Center Mean = xi/n = average of all values in data set Symbols:
Tuesday, Jan. 8
Median = "middle value" if n odd, the average of the middle pair if n even Sy
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Winter, 2008 Stat 321 Lecture 4 Probability (2.1)
Monday, Jan. 14
Example 1 ("Monty Hall" Problem): Suppose that on a game show money is hidden behind one door, while pigs are hidden behind two other doors. A contestant picks a door, and then the
Probability and Statistics for Scientists and Engineers
STAT 321

Winter 2008
Stat 321 Day 2
Numerical Summaries (Ch. 1)
Reminders
Reading assignments in syllabus Bring calculator to class
Get out, turn on. Include graphs/output Remember labels and legends! Work together!
Lab 1
Questions?
Course Logistics
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2014
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2014
EXAM #3, VERSION #2
You will need to follow along with your exam.
1.
a.
b.
c.
d.
Since the points in the normal probability plot lie close to the 45 line, the sample percentile
PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
STAT 321

Spring 2014
STAT 321: PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS
SPRING, 2014
EXAM #1, VERSION #1
You will need to follow along with your exam.
1.
a.
b.
The observational units are silicon pillars (n = 50).
The distribution of heights of these 50 silicon