April 15; 2014
ESE 326 Probability and Statistics for Engineering
Instructor: Vladimir Kurenok
EXAM 2
Name (Please print:
Total: 100 points
Instructions:
1. You must Show all work to completely justify your answers in order to receive any
credit.
2. Tab
October 7', 2014
ESE 326 Probability and Statistics for Engineering
Instructor: Vladimir Kurenok
EXAM I
Name (Please riri ): y .
p t S O l UL idol/13
Total: 100 points
Instructions:
1. You must show all work to completely justify your answers in order t
April 11, 2013
ESE 326 Probability and Statistics for Engineering
Instructor: Vladimir Kurenok
EXAM 2
Name (Please print): /
Total: 100 points
Instructions:
1. You must Show all work to completely justify your answers in order to receive any
credit.
2. Ta
ESE 326 Probability and Statistics for Engineering
Instructor: Vladimir Kurenok
EXAM 2
Name (Please print):
Total: 100 points
Instructions:
1. You must show all work to completely justify your answers in order to receive any
credit.
2. Tables are attached
l l
A new 8-bit microcomputer chip has been developed that can be reprogrammed without removal from the microcomputer. It
is claimed that a byte of memory can be programmed in less than 14 seconds.
A) Set up the appropriate null and aalternative hypothese
Exercises10 Text File
Problem 3
(c) Run the model, then open the scope window and estimate the period of the waveforms. (The
period is the time required to complete one cycle.)
Period (one cycle) estimated to be 5.656
s with K = 1.
(e) What value of K mak
February 21 2013
ESE 326 Probability and Statistics for Engineering
Instructor: Vladimir Kurenok
EXAM 1
S O \ \Ajti 0 5
Name (Please print): /./
Total: 100 points (every problem is 10 points worth)
Instructions:
1. You rnust show all work to completely ju
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May 5, 2014
ESE 326 Probability and Statistics for Engineering
Instructor: Vladimir Kurenok
FINAL EXAM
Name (Please print):
Total: 180 points
Instructions:
1. You must Show all work to completely justify your answers in order to receive any
credit.
2. T
December 15, 2014
ESE 326 Probability and Statistics for Engineering
Instructor: Vladimir Kurenok
FINAL EXAM
Name (Please print:
Total: 200 points
Instructions:
1. You must Show all work to completely justify your answers in order to receive any
credit.
ESE 326 Probability and Statistics for Engineering
HW 3 - Solutions
Total: 20 points
Problem 1. [5 p.] In blasting soft rock such as limestone, the holes bored to hold the explosives
are drilled with a Kelly bar. This drill is designed so that the explosi
ESE 326 Probability and Statistics for Engineering
HW 4-Solutions
Total: 20 points
Problem 1. [5 p.] Use the moment-generating function to show that E(X 2 ) =
V ar(X) = prq2 for the negative binomial distribution with parameters r and p.
(r2 +rq)
p2
and t
ESE 326 Probability and Statistics for Engineering
HW 1-Solutions
Total: 20 points
Problem 1. [5 points] Any home mortage is classified to be of fixed rate (F) or variable rate
(V). Consider an experiment of randomly selecting a sample of four mortgages.
ESE 326 Probability and Statistics for Engineering
HW 6 - Solutions
Total: 20 points
Problem 1. [5 p.] Let X=the time (in 101 weeks) from shipment of a defective product until
the customer returns the product. Suppose that the minimum return time is = 3.5
ESE 326 Probability and Statistics for Engineering
HW-Solutions
Total: 20 points
Problem 1. [4 p.] Assume that the engine component of a spacecraft consists of two engines in
parallel. If the main engine is 95% reliable, the backup is 80% reliable, and th
November 18, 2014
ESE 326 Probability and Statistics for Engineering
Instructor: Vladimir Kurenok
EXAM 2
Name (Please print):
Total: 100 points
Instruetions:
1. You must Show all work to completely justify your answers in order to receive any
credit
2.
ESE 326 Probability and Statistics for Engineering
Instructor: Vladimir Kurenok
FINAL EXAM
Name (Please print): f)
\lw \cfw_ OK C, i1 0L EV OW
Total: 180 points
Instructions:
1. You must show all work to completely justify your answers in order to receive
Name (Please print):
Total: 200 points
Instructions:
1. You must show all work to completeiy justify your answers in order to receive any
credit.
2. Tables are attached to the exam.
3. You can use One twrysided sheet of paper with your own formulas. 1. (6
ESE 326 Probability and Statistics for Engineering
HW 7 - Solutions
Total: 20 points
Problem ? cfw_4 p.] Let E be a standard normal random variable and let Y m 232 1, Find the
pdf of Y.
Solution: We can use here the result extablished in lecture. In other
ESE 326 Probability and Statistics for Engineering
HW 9 - Solutions
Total: 20 points
Problem 1. [5 p.] Using a long rod that has length , you are going to lay out a square plot
in which the length of each side is . Thus the area of the plot will be 2 . Ho
ESE 326 Probability and Statistics for Engineering
HW 5 - Solutions
Total: 20 points
Problem 1. [5 p.] The weekly demand for propane gas (in 1000s of gallons) from a particular
facility is a crv X with pdf given by
f (x) = 2(1
1
) for 1 x 2
x2
(and 0 oth
ESE 326 Probability and Statistics for Engineering
HW 8 Solutions
Total: 20 points
Problem 1. [5 p.] Let X be a random variable with density
fX(:L') = 8, m > 0
and let Y = eX. Find the pdf of Y.
Solution: We see that Y = MX) Where Mac) 2 ex. Obviosly, h i
ESE 326 Probability and Statistics for Engineering
HW 11 - Solutions
Total: 20 points
Problem 1. [4 p.] A sample statistic of size 9 from a normal distribution with 2 = 25 is used
to test
H0 : = 20 against H1 : = 28.
Let us agree to reject H0 in favor of
ESE 326 Probability and Statistics for Engineering
HW 10 - Solutions
Total: 20 points
Problem 1. [5 p.] The late manifestation of an injury following exposure to a sufficient dose of
radiation is common. These data are obtained on the variable X, the time
ESE 101 Class Notes Lecture 5
Eric Sutton
Fall 2016
1
Matrix
A matrix is a two dimensional table of numbers. A matrix has rows reading across the table, and columns
reading down the table. A matrix that has m rows and n columns is said to be a m n matrix.
ESE 101 Class Notes Lecture 8
Eric Sutton
Fall 2016
1
If, else, elseif
1. The basic if structure in Matlab has the following syntax:
if <expression>
<statements>
end
The <expression> is replaced with a logical expression. If that expression evaluates to t
ESE 101 Class Notes Lecture 2
Eric Sutton
Fall 2016
1
Introduction to scalars, vectors, and matrices
A matrix is a two dimensional (rectangular) array of numbers. Here is a matrix with 3 rows and 4
columns:
1 2 3 1
0 2 1 3
0 0 4 9
We say that this is a 3
ESE 101 Class Notes Lecture 3
Eric Sutton
Fall 2016
1
Fundamental concepts
You already have some experience calling functions. Matlab comes with a huge collection of pre-defined
functions. These functions provide many essential capabilities without requir