FACULTY OF SCIENCE
STAT2800U: Statistics & Probability for
Engineers
Course outline for Winter, 2017
1. Course Details & Important Dates*
Course Type CRN
Day
Lecture
70247
70248
M/W
M/W
Time
Location
9:40-11 am / 8:10-9:30 am
12:40-2 pm / 11:10-12:30 pm
U
Help|ZhiyiYang(100562380)
Quiz2
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STAT2800 (Winter 2017): Online Quizzes, Quiz 2
Zhiyi Yang, 2/1/17 at 10:03:15 PM EST
Question1:Score1/1
The pdf of a continous random variable is given as
1.
Find P(X < 0.7). (answer to 3 de
Question1:Score1/1
In order to be accepted into a prestigious Musical Academy, applicants must score within the top 4% on the
musical audition. Given that this test has a mean of 1,400 and a standard deviation of 170, what is the lowest
possible score a s
Question1:Score1/1
The stemplot along with some summary statistics of the grades of a statistics class are given below. How many of these
scores are identified as outliers?
Corre
ct
Your Answer: 3
Comment:
Question2:Score1/1
With the following boxplot, fi
Exercise 1 (10 marks)
Assignment 2
Let X represent the positive difference between the scores obtained from
two dice.
a) Find the probability mass function for X.
b) Show that X follows a valid probability mass function.
c) Find P( X 2) .
d) Find x .
e) F
Statistics and Probability for Engineers STAT2800U
Assignment 10
Due: 2:30 p.m. Monday, 9 April 2012
All answers should be kept to 4 decimal places
1. The Least-Squares Line
From Navidi (3ed), Sec 7.2: #2, #4, #6, #8, #12, #16
2. SAS
From Navidi (3ed), Su
Statistics and Probability for Engineers STAT2800U
Assignment 4
All answers should be kept to 4 decimal places
1. The Binomial Distribution
From Navidi (3ed), Sec 4.2: #2, #6, #8
2. The Poison Distribution
From Navidi (3ed), Sec 4.3: #2, #4, #12, #16, #18
Assignment 1
Exercise 1 (8 marks)
For each of the following settings in Exercise 1, (i) identify the
variable(s) in the study, (ii) explain the type of data for each
variable in the study (e.g., categorical and ordinal, continuous
or discrete, etc.), (iii
Statistics and Probability for Engineers
STAT2800U Winter 2012
*
ANSWER SHEET FOR Assign. No. 7
*
Mark:_/30
FROM SEC 5.3:
#4: circle one ->
NO
#8 (a): the value of the 95% CI lower bound only _3409.29_
#8 (b): the value of the 98% CI critical t only
t
=
Statistics and Probability for Engineers STAT2800U
Assignment 5
Due: 2:30 p.m. Friday, 17 February 2012
All answers should be kept to 4 decimal places
1. The Lognormal Distribution
From Navidi (3ed), Sec 4.6: #2, #4, #8, #10
2. The Exponential Distributio
Statistics and Probability for Engineers STAT2800U
Assignment 6
Due: 2:30 p.m. Friday, 2 March 2012
All answers should be kept to 4 decimal places
1. The Central Limit Theorem
From Navidi (3ed), Sec 4.11: #4a, #6, #10, #12, #16
2. Large-Sample Confidence
1
Assignment 5 (Stat 2010)
Exercise 1 (5 marks)
There is concern that increased industrialization may be increasing the
mineral content of river water. Ten years ago, the silicon content of the
water in a certain river was 5 mg/L. Eighty-five water sample
STAT2010 STAT2020 Lecture 11
Lecture 11:
CHAPTER 5: PROBABILITY AND SAMPLING
DISTRIBUTIONS
Conditional Probability and Independence (Section 5.3,
page 204)
CONDITIONAL PROBABILITY
The term conditional probability comes from the fact that sometimes, the
pr
STAT2010 STAT2020 Lecture 9
Lecture 9:
CHAPTER 3: BIVARIATE AND MULTIVARIATE
DATA AND DISTRIBUTIONS
Fitting a Line to Bivariate Data Contd (Section 3.3,
page 114)
FITTING A STRAIGHT LINE
Recall from last class:
The equation of the least squares line L is
STAT2010 STAT2020 Lecture 18
Lecture 18:
CHAPTER 8: TESTING STATISTICAL
HYPOTHESES
Tests Concerning Hypotheses About Means Contd
(Section 8.2, page 345)
Example: In an experiment on the metabolism of insects, American
cockroaches were fed measured amounts
STAT2010 Lecture 23
Lecture 23:
MORE SAS
Example: The SAS output of a random sample of final grades obtained by
students in a calculus course taught by a new method is given below. Past
records have indicated the mean grade for students under a standard l
STAT2010 STAT2020 Lecture 19
Lecture 19:
CHAPTER 8: TESTING STATISTICAL
HYPOTHESES
Tests Concerning Hypotheses About Means Contd (Section
8.2, page 345)
Last lecture, I introduced the Paired Data T test:
For paired data, the relevant formulas:
n
d
d=
i
i
STAT2010 STAT2020 Lecture 1
Lecture 1:
CHAPTER 1: DATA AND DISTRIBUTIONS
Populations, Samples, and Processes (Section 1.1, page 3)
Question: What is a statistic?
The basic Idea behind all statistical methods of data analysis is to make
inferences about a
STAT2010 STAT2020 Lecture 13
Lecture 13:
CHAPTER 5: PROBABILITY AND SAMPLING
DISTRIBUTIONS
Describing Sampling Distributions Contd (Section 5.6,
page 228)
Recall from our last lecture:
THE CENTRAL LIMIT THEOREM
Given a large random sample of size n from a
STAT2010 STAT2020 Lecture 14
Lecture 14:
CHAPTER 7: ESTIMATION AND STATISTICAL
INTERVALS
Point Estimation (Section 7.1, page 290) optional
material
In Chapter 5 we discussed estimates for various parameters: for example, x as
an estimate of a population m
STAT2010 STAT2020 Lecture 16
Lecture 16:
CHAPTER 7: ESTIMATION AND STATISTICAL
INTERVALS
Small-Sample Intervals Based on a Normal Population
Distribution Contd (Section 7.4, page 313)
t-interval: Confidence Interval for the Mean of a Normal Population (
u
STAT2010 Lecture 6
Lecture 6:
Measures of Center Contd (Section 2.1, page 60)
MEASURES OF CENTER FOR DISTRIBUTIONS
Recall from last class, we found the mean of the binomial distribution. Since the
binomial distribution is discrete, we follow the following