Stat/ Math 414 Practice Midterm
200 Points Total
Try this practice test on your own before looking at solutions — You need to explain
your answers and show your work to receive full credit
.4“? PUD) *
STAT 414
MID-TERM EXAMINATION 2
SPRING, 2017
Please circle your class time: 9:05 a.m. or 1:35 p.m.
Your name (in BLOCK letters):
Your signature:
Your PSU Student-ID Number:
Instructions:
1. Turn off a
STAT/MATH 414
Penn State University
Homework #3, due Friday, February 7, 2014
You need to show all work.
Before you begin this assignment, you need to rst download and install R. To do this, you can g
Stat/Math 414
ASSIGNMENT #3
(due Monday, February 16)
PROBLEM 1.3-1
PROBLEM 1.3-3
PROBLEM 1.3-4
(a-d)
(a-e)
(a-c)
(8pt)
(10 pt)
(6pt)
Hint to 1.3-4(c): Consider the following cases and then apply the
STAT 414
Solutions for homework assignment 1
Due: Friday, September 2, 2016
1. (Ross C1 P8) How many different letter arrangements can be made from the
letters
(a) Fluke?
(b) Propose?
(c) Mississippi?
Practice Midterm Exam 1: MATH/STAT 414, Spring 2014
Penn State
NAME
Instructions:
1. This is a closed book, closed notes exam.
2. Please show all your work for full credit.
3. Box your nal answer to e
SAMPLE Final Exam: MATH/STAT 414, Spring 2014
Penn State
NAME: SOLUTIONS
Instructions:
1. This is a closed book, closed notes exam.
2. Box your nal answer to each question (draw a box around it).
18!
Penn State Midterm Exam 2: STAT 414, Spring 2014
NAME:
Instructions:
1. This is a closed book, closed notes exam.
2. Box your nal answer to each question (draw a box around it).
18!
3. You may leave y
STAT/MATH 414
Penn State University
Homework #3, due Friday, February 7, 2014
You need to show all work.
Before you begin this assignment, you need to rst download and install R. To do this, you can g
STAT/MATH 414
Penn State University
Homework #8, due Friday, April 4, 2014
Please show all work.
1. The Gamma distribution: If X Gamma(, ) then it has the pdf
f (x) =
1 x
x
e
, for x > 0,
()
with , >
STAT/MATH 414
Penn State University
Homework #11, due Friday, April 25, 2014
Please show all work.
1. If X and Y have joint density function
fX,Y (x, y) =
1/y, if 0 < y < 1, 0 < x < y
0,
otherwise
nd
SAMPLE Final Exam: MATH/STAT 414, Spring 2014
Penn State
NAME:
SECTION:
Instructions:
1. This is a closed book, closed notes exam.
2. Box your nal answer to each question (draw a box around it).
18!
3
Penn State Midterm Exam 2: STAT 414, Spring 2014
NAME
Instructions:
1. This is a closed book, closed notes exam.
2. Box your nal answer to each question (draw a box around it).
18!
3. You may leave yo
STAT/MATH 414
Penn State University
Homework #7, due Friday, March 21, 2014
You need to show all work.
1. A system consisting of one original unit plus a spare can function for a random amount of time
STAT/MATH 414
Penn State University
Homework #9, due Friday, April 11, 2014
Please show all work.
1. Suppose that 3 balls are chosen without replacement from an urn consisting of 5 white and 8
red bal
STAT/MATH 414
Penn State University
Homework #12, due Friday, May 2, 2014
Please show all work.
1. If X1 , X2 , X3 , X4 , X5 are independent and identically distributed exponential random variables
wi
STAT/MATH 414 Introduction to Probability Theory
Fall Semester 2017
Instructor: Junli Lin
Office: 412 Thomas Building
Office Hours: Mon 3:00 p.m. & Weds 4 p.m. or by
appointment
320 Thomas Building (t
MATH/STAT 414.002
Introduction to Probability Theory
Chapter 4 Random Variables
Junli Lin
Department of Statistics
Penn State University
1/84
Chapter 4 Random Variables
Chapter 4 Random Variables
4.1
Problem 1 (fair dice)
Let E be the event that at least one die is a six and F the event that the two die lands on
different numbers. Then P(E\F) : P1333). The event F can be any of the following pairs
Problem 7 (arranging boys and girls)
Part cfw_31): Since we assume that each person is unique, the total number of ordering is given
by 6! = r20.
Part (b): We have 3! orderings of each group of the th
Problem 7
Part (a)
(2 X 3)].5 = 615
Part(b)
Total: 615,
All members are white collar: 315,
At least one is blue collar:
615 315
Part(c)
(2 X 2)15 : 415
Problem 8 (rmutuallgr exclusive events)
Since A
STAT/MATH 414
Penn State University
Homework #2, due Friday, January 31, 2014
You need to show all work.
1. In an experiment, die is rolled continually until a 6 appears, at which point the experiment
STAT/MATH 414
Penn State University
Homework #4, due Friday, February 14, 2014
You need to show all work.
Before you begin this assignment, you need to rst download and install R. To do this, you can
STAT/MATH 414
Penn State University
Homework #5, due Monday, March 3, 2014
You need to show all work.
Before you begin this assignment, you need to rst download and install R. To do this, you can go
t
STAT/MATH 414
Penn State University
Homework #6, due Friday, March 7, 2014
You need to show all work.
1. A certain typing agency employs 2 typists. The average number of errors per article is 3 when
t
Penn State Midterm Exam 2: STAT 414, Fall 2012
NAME
Instructions:
1. This is a closed book, closed notes exam.
2. Box your nal answer to each question (draw a box around it).
18!
3. You may leave your