Chapter 5 Normal Distribution
Many phenomena give rise to data whose distribution is bell-shaped
and roughly symmetric. For example, height, blood pressure and
exam scores are often well described by a Normal model.
Melissa Lee, UBC Department of Statisti
Ch 4 Random Variables and Distributions
Random variable: a function (rule) that assigns a number with
each outcome in the sample space, denoted with capital letters,
X, Y, Z.
The value that a random variable can assume will be denoted with
corresponding l
Last Name: _ First Name: _ Student #:_
STAT 241/251 Ch 3 Bayes Theorem
SOLUTIONS
An overwhelming amount of unsolicited email, known as spam, is flowing into users mailboxes
daily. Not only is spam frustrating for most email users, it strains the IT
Ch. 1 - Summary and Display of Univariate Data
Statistics is a science involving the design of studies, data collection, summarizing data,
interpreting resulting and drawing conclusions.
Often in statistics, we want to know something about a certain popul
Chapter 6 Some Probability Models
In this chapter, we will cover the following discrete random
variables:
1) Bernoulli trials
2) Geometric r.v.
3) Binomial r.v.
4) Poisson r.v.
Melissa Lee, UBC Department of Statistics
1
Bernoulli Random Variable
A random
STAT 203 - Chapter 12
Sample Surveys
Part I of the text (chpts. 1-6) dealt with exploring and understanding data, in Part II of
the text (chpts 7-9), we learned how to explore the relationship between two quantitative
variables.
Now that we understand a b
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STAT 203 - Chapter 15
Probability Rules
In Chapter 14, we introduced some probability rules for simple situations. (ie) for disjoint
events and for independent events.
In this chapter, we introduce some probability rules for when the events are not indepe
STAT 203 - Chapters 20&21
Testing Hypotheses (About Proportions)
In Chapter 18, we developed a model for proportions (the sampling distribution) and we saw
how this model could be used to make confidence intervals in chapter 19. We also talked
about how t
STAT 203 - Chapters 8 & 9
Linear Regression
In Chapter 7, we discussed how to visually examine, and quantify the linear relationship
between two quantitative variables (scatterplot, correlation).
If there is a strong linear relationship between the two va
STAT 203 - Chapter 5
Describing Distributions Numerically
In Chapters 3 and 4, we discussed ways of describing and making pictures of the Distribution of variables. This chapter talks about ways of summarizing the distribution
numerically, for a quantitat
STAT 203 - Chapter 13
Experiments and Observational Studies
Chapter 12 explained how to take a sample (mostly for survey-type data). This chapter
talks about obtaining data from Observational Studies and Experimental Studies.
In statistics, we like to ans
STAT 203 - Chapter 18
Sampling Distribution Models
Part I of the text discussed how to explore and understand data. Part II talked about
exploring the relationship between two quantitative variables. Part III talked about how to
collect reliable data. In
STAT 203 - Chapters 1&2
Intro. to Statistics and Data
What is Statistics ?
Statistics is a science that involves the design of experiments or studies, the collection, summarization and analysis of the data, and the interpretation of the results to draw co
STAT 203 - Chapter 6
The Standard Deviation (SD) as a Ruler
and The Normal Model
In Chapter 5, we introduced a few measures of center and spread, and discussed how the
mean and standard deviation are good summaries when the histogram (or distribution) is
STAT 203 - Chapter 7
Scatterplots, Association and Correlation
Chapters 1-6 involved exploring and understanding data and variables. Chapters 7-9 address
the question of exploring relationships between variables. So far, we have only really
considered one
STAT 203 - Chapter 23
Inferences about Means
In the second half of Chapter 18, we developed a model for the sampling distribution of
means. (ie) If we know the true mean (), then what types of sample means should we
expect to see in our sample (
y ).
Chap
STAT 203 - Chapter 3
Displaying Categorical Data
This chapter discusses methods of presenting and displaying categorical variables, to see
if there are any patterns, or to examine relationships between two categorical variables.
Lets take a look at some d
STAT 203 - Chapter 19
Confidence Intervals for Proportions
In Chapter 18, we presented a model for population proportions. We use this model in
situations where we would like to know the sampling distribution of ps (what type of ps
should we expect to see
STAT 203 - Chapter 24
Comparing Means
This chapter discusses how to make inferences when we want to compare 2 means. We will
only discuss one particular section of this chapter. Namely, how to test a hypothesis or
make a confidence interval for two means,
STAT 203 - Chapter 4
Displaying Quantitative Data
This chapter discusses methods of presenting and displaying Quantitative variables, to
examine the distribution of each.
As usual, we will present a set of data at the start of the chapter, and then presen
STAT 203 - Chapter 14
From Randomness to Probability
This is the topic that sparked my interest in statistics, although I should mention that we
will only skim the surface of Probability. Let me tell you a little story about myself.
So, what is the differ
FALL 2016/17 TERM 1
STAT 302
ASSIGNMENT 4
Due: Wednesday November 23 at 11am
Please remember to include a cover sheet when you submit your assignment. You may hand
in your assignment in class or deposit it in the STAT 302 assignment box on the ground flo
FALL 2016/17 TERM 1
STAT 302
ASSIGNMENT 1
Due: Wednesday September 28 at 11am
Please remember to include a cover sheet when you submit your assignment. You may hand
in your assignment in class or deposit it in the STAT 302 assignment box on the ground fl
FALL 2016/17 TERM 1
STAT 302
ASSIGNMENT 3
Due: Wednesday November 9 at 11am
Please remember to include a cover sheet when you submit your assignment. You may hand
in your assignment in class or deposit it in the STAT 302 assignment box on the ground floo
FALL 2016/17 TERM 1
STAT 302
ASSIGNMENT 2
Due: Wednesday October 12 at 11am
Please remember to include a cover sheet when you submit your assignment. You may hand
in your assignment in class or deposit it in the STAT 302 assignment box on the ground floo
Qualitative/categorical: ordinal (with order) OR nominal
Frequency (relative / %) tables, Bar chart height ~ freq. (area principle), Pie
chart. Contingency tables (shows relationship between two variables)
. Marginal distribution: look at distribution of
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Exercise 7.
A particular fast-food outlet is interested in the joint behaviour of the
random variables X, defined as the total time between a customer's arri