Transcript Random Variable Review

Today’s Agenda
Random variable review
 Overview of clicker experiment and informed
consent
 Survey of attitudes toward statistics and clickers
 Comprehensive Assessment of Outcomes for a first
course in Statistics (CAOS)

Random Variable Review:
The Qwizdom Years
Problem 1: In which of the following
situations is X a binomial random variable?
A. Let X be the number of football games
the Wolverines will win next season.
B. Let X be the number of heads that turn up
on an unfair coin in 10 flips.
C. Let X be the number of flips necessary to
get 5 heads on a fair coin.
D. Let X be the number of spades in a hand
of 7 dealt from a standard deck of cards.
Problem 2
Suppose there is a new game you can play.
You can win $10 with probability 0.1
or $100 with probability 0.01.
Otherwise, you lose (i.e. you win $0).
Let X be the random variable
representing the amount of money you win.
What is the probability that you win $0?
A)
B)
C)
D)
E)
0
0.1
0.89
0.99
1
What is the expected amount of money
you will win?
A)
B)
C)
D)
E)
$0
$1
$2
$10
$100
Problem 3
Suppose that lengths
of tails of adult
Ring-tailed Lemurs are
normally distributed
with mean 50 cm and
standard deviation 5 cm.
Photo From:
"lemur." Online Photograph.
Britannica Student Encyclopædia. <http://student.britannica.com/eb/art-52836>.
What is the probability that a randomly
selected adult ring-tailed lemur has
a tail that is 45 cm or shorter?
A)
B)
C)
D)
0
0.1587
0.8413
1
Two adult ring-tailed lemurs
will be randomly selected.
What is the probability that both lemurs
will have a tail that is 55 cm or longer?
A)
B)
C)
D)
0.02519
0.1587
0.3174
0.8413
Overview of the Stat 350
Clicker Experiment
 You are invited to be part of a research study on the
effectiveness of clickers in helping to engage students
in the Statistics classroom and learn the subject.
 You were selected as a possible participant because
you are enrolled in STATS 350.
 This study is being conducted by:
 Herle McGowan, M.A., Department
of Statistics,
Statistics 350 Instructor
 Brenda Gunderson, Ph.D., Department of
Statistics, Statistics 350 Instructor
 Please read the Informed Consent document now…
In Summary…
 Providing consent does not mean extra work for you
(i.e. no work beyond normal course requirements)
 Everyone will complete the same surveys & assessments,
and have the same extra-credit opportunities.
 Providing consent does mean we can use your data which
we collect from surveys, clicker responses, in-lab reviews,
and CAOS assessments - in the research project.
 This could help us learn more about the best ways
to use clickers.
 In any analysis or reports we may publish using this data,
it will not be possible to identify individual students.
Questions?
 You may ask any questions about the study now.
 If you have more questions later, contact:
 Herle McGowan, 258 West Hall,
[email protected]; OR
 Brenda Gunderson, 445A West Hall,
734-615-2830, [email protected].
Consent
 Please print your name on the document
 This does not signal your permission to use your data in
this study; only your signature does that
 If you consent to have the data collected from surveys,
clicker responses, in-lab reviews, and CAOS assessments
used in this study:
 Please sign the Informed Consent document
 If you would not like to have your data used in this study:
 Do not sign the consent form
 Please return the consent form (signed or not) to me now.
 For your reference, a copy of this form is available
on CTools>Lab Info.
Now…
 We would like to learn more about you
 About your attitudes towards Statistics & clickers
 About your basic knowledge of Statistics
 First, go to CTools>Lab Info and find the link:
 Stat 350 Early Attitudes
 Then, go to CTools>Lab Info and find the link:
 Stat 350 Early Understanding
 Use your best judgment to answer every question
 When you have completed the questions, stop up to
pick up your HW 1!