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) *2 Vane,
1. One out of every 410 American adults is a la
Penn State STAT/MATH 414
Homework #1, due Friday, January 24, 2014
1. Problemss 2, 4, 8, 11, 16, 18, 19, 21, 22, 26, 28, 30
2. Theoretical exercises: 4, 6, 8
Problems in Chapter 1
2. How many outcome sequences are possible when a die is rolled four times,
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 go
to this website: http:/lib.stat.cmu.edu/R/CRAN/
1. Pr
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!
3. You may leave your answer unsimplied,e.g. 0.74 4!8!
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 each question (draw a box around it).
18!
4. You may lea
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 go
to this website: http:/www.r-project.org/
Solutions
1
Solutions - Homework 2 - STAT 414
1 (Chapter 2 Problem 12)
(a) P (S F G) = (28 + 26 + 16 12 4 6 + 2)/100 = 1/2
The desired probability is 1 1/2 = 1/2
(b) Use the Venn diagram below to obtain the answer 32/100.
(c) Since 50 students are not taking t any of
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
to this website: http:/www.r-project.org/
1. Suppose tha
Stat/Math 414.
ASSIGNMENT #2
(due Friday, February 6)
PROBLEM
PROBLEM
PROBLEM
PROBLEM
PROBLEM
PROBLEM
1.2-1
1.2-3 (a,b)
1.2-5 (a,b)
1.2-9 (a-d)
1.2-11 (a-c)
1.2-17 (a-c,e)
(1 pt)
(4 pt)
(2 pt)
(4 pt)
(1+2+1=4 pt)
(8 pt (EXTRA!)
PROBLEM A
(2 pt)
A poker pl
STAT/MATH 414
Homework #4
due Friday, September 26, 2014
Show all work / Explain your reasoning.
Exercise numbers are from the Ross textbook, 9th edition.
1. Chapter 4, Problems 4.4, 4.15, 4.16, 4.21, 4.28 and 4.32
2. Chapter 4, Theoretical exercises 4.2,
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 answer unsimplied,e.g. 0.74 4!8! , 14e23 , 1.67 0.938.
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 your answer unsimplied,e.g. 0.74 4!8! , 14e23 , 1.67 0.9
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
typed by the rst typist and 4.2 when typed by the second
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
with the parameter , compute
(a) P cfw_min(X1 , . . . , X
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 balls. Let Xi equal 1 if the ith ball selected is white, a
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
X. If the density of X is given (in units of months) b
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 , > 0. It has expected value, E(X) = / and Var(X) = /2 . F
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
(a) E[XY ]
(b) E[X]
(c) E[Y ]
2. Consider n independent
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. You may leave your answer unsimplied,e.g. 0.74 4!8! ,
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 your answer unsimplied,e.g. 0.74 4!8! , 14e23 , 1.67 0.93
1!
, . wmeumf K 3
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@ 50lU'li0:
Xc difference bdween Heads
and 54 of {offs cHaineJ when
7': 5 .
a when Coin 40559:! JmCc (m2)
X: 0 or, 1
;_ because (2 H/OT): 10:
(min): 95:0
(0H)2T_)2 2022
. when u n u 02:3)
Q X113 OF 3 r
;bcca,use (314,07): 36
Stat/Math 414
ASSIGNMENT #12
(due Wednesday, April 22)
PROBLEM
PROBLEM
PROBLEM
PROBLEM
PROBLEM
4.1-1
4.1-3
4.1-4
4.4-1
4.4-3
(a,b)
(a-g)
(a-c)
(a-d)
PROBLEM A
(2+4=6 pt)
(2+2+3+3+3+3+1=17 pt)
(4+2+2 = 8 pt)
(5+2+4+4=15 pt)
(6 pt)
(2+4+2+4+2 +4+4+1=23 pt)
Stat/Math 414
ASSIGNMENT #10
(due Friday, April 10)
Note 1. In the textbook they use to denote the intensity of the Poisson process
while we denote the intensity by and = t is the parameter of the Poisson
distribution for the number of occurrences of the
Stat/Math 414
ASSIGNMENT #4
(due Friday, February 20)
PROBLEMS 1.4-1
PROBLEMS 1.4-2
PROBLEM 1.4-5
(a-c)
(a,b)
(3 pt)
(2 pt)
(2 pt)
PROBLEM A
(2+1+3=6 pt)
a) There are 7 shots in a team. Each of them hits some target with probability
0.3. They shoot simult
Stat/Math 414
ASSIGNMENT #11
(due Friday, April 17)
NOTE 1. If X is a r.v. and a > 0, then the event cfw_|X| < a = cfw_a < X < a,
cfw_|X| > a = cfw_|X| a = cfw_X < a cfw_X > a. So there are two ways to calculate
P (cfw_|X| > a). Note that if X = Z (standa
STAT 414
MID-TERM EXAMINATION 2
SPRING, 2012
Please circle your class time: MWF (8:00 a.m.), MWF (9:05 a.m.), or Tu-Th (9:45 a.m.)
Your name (in BLOCK letters):
Your signature:
Your PSU Student-ID Number:
Instructions:
1. Turn o all electronic devices! An
STAT 414
SOLUTIONS TO EXAM 2
SPRING, 2012
Please circle your class time: MWF (8:00 a.m.), MWF (9:05 a.m.), or Tu-Th (9:45 a.m.)
Your name (in BLOCK letters):
Your signature:
Your PSU Student-ID Number:
Instructions:
1. Turn o all electronic devices! Any s
STAT/MATH 414
SAMPLE FINAL EXAMINATION
FALL, 2015
Your name (in BLOCK letters):
Your signature:
Your PSU Student-ID Number:
Instructions:
1. Turn o all electronic devices! Any student whose electronic device rings, vibrates, or
makes any sound during the
NAME:
Math 441 Quiz 1 Friday, August 25, 2016
1. Draw both the row and column pictures for the following system. For each picture, give the
geometric meaning of the solution (x, y).
2x y = 3
x+y = 3
2. Circle T or F for TRUE or FALSE.
T or F. A linear sys