Stat 4321/5325
November 19, 2004
Exam 4
Name_
UFID_
On my honor, I have neither given nor receive unauthorized aid on this
examination.
Signature_
Answer all questions in the space provided. Show enough of your work to make it
clear how you arrived at you
STA 4321/5325 - Spring 2010
Quiz 8 - April 9
Name:
There are ve problems in this quiz. Each problem has exactly one correct answer.
Problem 1 Let f (x, y ) denote the joint probability density function of two continuous random
variables X and Y , and fX (
STA 4321/5325 - Spring 2010
Sample Exam 2
Note: This is an example adapted from previous STA 4321/5325 exams. It is intended to be of
approximately the same length and style as the actual exam. However, it is NOT guaranteed to
match the content or coverag
STA 4321/5325 - Spring 2010
Sample Exam 3
Note: This is an example adapted from previous STA 4321/5325 exams. It is intended to be of
approximately the same length and style as the actual exam. However, it is NOT guaranteed to
match the content or coverag
Home Work 3Solutions
[ In above Problem 3.1.10 , p.f. of X simply means p.m.f. of X ]
[ In above Problem 3.1.11 , p.f. means p.m.f.]
[ Here, we have defined X to be the number of misprints occurred. Then, it is given that X follows
Poisson Distribution wi
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/Users/rp/Dropbox/Teaching/STA4321/Hw2
Dear Students,
The following problems are from the book Probability and Statistics by DeGroot and Schervish.
2.2.4, 2.2.6, 2.2.10, 2.3.4 , 2.3.6, 2.2.13, 2.3.7, 2.3.8, and 2.3.13
Correspon
Solution
1.
a. The two jobs are identical, so the order does not matter when selecting two applicants, the
sample space is:
S = cfw_(Jim, Don), (Jim, Mary), (Jim, Sue), (Jim, Nancy), (Don, Mary), (Don, Sue), (Don, Nancy), (Mary, Sue),
(Mary, Nancy), (Sue,
1. Five applicants (Jim, Don, Mary, Sue, and Nancy) are available for two identical jobs. A supervisor
selects two applicants to fill these jobs.
a. Give the sample space associated with this experiment.
b. Let A denote the event that at least one male is
Questions :
[Assume, that each outcome is equally likely for each person to choose each door]
[Hint: To find the probability distribution for X, first find what can be the possible values of X.
Then, for each possible value , just calculate ( = ) i.e. sim
8/29/2016
/Users/rp/Dropbox/Teaching/STA4321/Hw1
1 Dear Students,
2
The following problems are from the book Probability and Statistics by DeGroot and Schervish.
3
The idea here is to give you problems that you do not normally have access to.
4
As I said
STA 4321/5325 - Spring 2010
Quiz 7 - April 2
Name:
There are ve problems in this quiz. Each problem has exactly one correct answer.
Problem 1 The moment-generating function of a continuous random variable X with a
probability density function f (x) is giv
STA 4321/5325 - Spring 2010
Quiz 6 - March 26
Name:
There are ve problems in this quiz. Each problem has exactly one correct answer.
Problem 1 Let f (x) denote the probability density function of a gamma random variable with
parameters and .
f (x) =
Then
First Exam - STA 4321/5325 Summer 2010
What is the difference between a population and a sample; a parameter and a statistic?
What are the three axioms of probability? Know the Complement Law and Additive Law and how
to use them.
In equally likely setting
Second Exam Topic List for STA 4321/5325
How is probability represented for a continuous random variable? What are the properties of a
density function? What is the definition of a distribution function? What are the properties of a
distribution function.
STA 4321/5325 Exam 1
PRINT Name _
UFID _
1. An inspector selects 2 items at random from a shipment of 5 items, of which 2 are
defective. She tests the 2 items and observes whether the sampled items are
defective.
a) Write out the sample space of all possi
STA 4321 / 5325 Exam 2
xi
i! = e x
i =1
1
k=
1 k (0 k < 1)
i =0
i
n
( a + b) = a i b n i
i =0 i
n
n
The number of deliveries arriving at an industrial warehouse (during work hours) has a
Poisson distribution with a mean of 2.5 per hour.
What is the pr
STA 4321/5325 Exam 3
0
y 1 e y / dy = ( )
1
0
y 1 (1 y ) 1 dy =
( )( )
( + )
The moment generating function for the gamma distribution with parameters and is
M(t) = (1-t)- . Use this to demonstrate that the mean is in fact .
1
M(t) = - (1- t)-
( ) E(Y) =
STA 4321/5325
PRINT Name Legibly _
The following table gives the joint probability distribution for the numbers of washers
(X1) and dryers (X2) sold by an appliance store salesperson in a day.
Washers\Dryers
x1=0
x1=1
x1=2
x2=0
0.25
0.12
0.03
x2=1
0.08
0.
STA 4321/5325 Exam 2 PRINT Name_
Show all work!
1. Derive the moment-generating function for the Poisson distribution.
2. The number of imperfections in the weave of a textile has a Poisson distribution with
a mean of 4.5 per square yard.
a) What is the p
STA 4321/5325 Exam 3 PRINT Name_
Show all work!
1.
Truck arrivals at a company loading dock follow a Poisson distribution with
parameter . The dock foreman selects at random n days and checks the records to
determine how many trucks arrived each day. Deri
STA 4321 Final Exam PRINT Name _
1.
A game consists of 3 random numbers being selected from the Uniform density over
the range [0,10] independently. That is X1,X2,X3 ~ iid U(0,10), with probability
density function:
1 / 10 0 x 10
f ( x) =
otherwise
0
x
x
STA 4321/5325 - Spring 2010
Exam 1
February 3, 2010
Full Name:
KEY
On my honor, I have neither given nor received unauthorized aid on this examination.
Signature:
This is a 50 minute exam. There are 4 problems, worth a total of 40 points.
You may use on
STA 4321/5325 - Spring 2010
Exam 2
February 24, 2010
Full Name:
KEY
On my honor, I have neither given nor received unauthorized aid on this examination.
Signature:
This is a 50 minute exam. There are 4 problems, worth a total of 40 points.
You may use o