ENGRD 2700, Basic Engineering Probability and Statistics, Summer 2014
Practice Pre-Lim Problems
1. Compute the probability of drawing (from a standard deck of playing cards) a ve-card hand containing
(a) A straight ush.
(b) A ush.
(c) A straight.
2. In a
ENGRD 2700 F14 Basic Engineering Probability and Statistics
Homework 1
You may complete this homework either on your own or in pairs. No groups of 3 or more! If you
complete it with a partner, hand in a single homework with both of your names etc. on it.
ENGRD 2700, Basic Engineering Probability and Statistics, Spring 2016
Homework 2 Solutions
Submit by Friday, February 12 at 1 pm to the drop box in the nd floor of Rhodes Hall. You may work in
pairs. The same stipulations from Homework 1 (e.g., NetIDs, se
ENGRD 2700, Basic Engineering Probability and Statistics, Spring 2016
Homework 1
Due Friday, February 5 at 1 pm. Submit to the drop box in the 2nd floor of Rhodes Hall. You may work
alone or in pairs.
When completing this assignment (and all subsequent on
ENGRD 2700 F10 Preliminary Exam
Honor Code: I have neither given nor received aid on this exam. I understand that
violation of this statement or the Cornell honor code is punished at minimum with failure
of the course.
Printed Name:
Signature:
Net ID:
Rec
ENGRD 2700 F11 Basic Engineering Probability and Statistics
Homework 4
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work
with a partner and hand in a single homework with both your names (and net IDs, sectio
ENGRD2700
Basic Engineering Probability and Statistics
Homework 11: Regression. Hand in by 1:30 pm on Friday, May 1 in the ENGRD2700 dropbox.
Spring 2009
Be sure to write your name and section number (16) on your homework. Make sure that your homework pag
ENGRD 2700 F11 Basic Engineering Probability and Statistics
Homework 8
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work with
a partner and hand in a single homework with both your names (and net IDs, sectio
ENGRD 2700 F11 Basic Engineering Probability and Statistics
Homework 3
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work
with a partner and hand in a single homework with both your names (and net IDs, sectio
ENGRD 2700 F11 Homework 7
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work
with a partner and hand in a single homework with both your names (and net IDs, sections) on it. Ensure
that your work is well pres
ENGRD 2700, Basic Engineering Probability and Statistics, Fall 2014
Homework 3
Due Tuesday, September 23, at the start of lecture.
1. A fair six-sided die is rolled until a 6 appears.
(a) Compute the probability that at most 6 rolls are needed.
Solution:
ENGRD 2700 F13 Homework 6
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work
with a partner and hand in a single homework with both your names (and net IDs, sections) on it. Ensure
that your work is well pres
ENGRD 2700, Basic Engineering Probability and Statistics, Fall 2014
Homework 9
Due Thursday, December 4, at the start of lecture. 60 points.
1. (15 pts, 5 each) Let X1 , . . . , X25 be i.i.d. normal random variables with unknown mean and known
variance 2
Problem 294/12
(a)
The parameter of interest is =true average braking distance at 40 mph for the new design. The hypothesis are H0 : = 120 vs Ha : < 120.
(b)
E() x Hence R2 should be used. = 120, if H0 is true, < 120, if Ha is true.
(c)
= 10 =
ENGRD 2700 F12 Basic Engineering Probability and Statistics
Homework 5
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work
with a partner and hand in a single homework with both your names (and net IDs, sectio
ENGRD 2700 F11 Basic Engineering Probability and Statistics
Homework 9
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work with
a partner and hand in a single homework with both your names (and net IDs, sectio
1
Suggestions for Exam Prep; ORIE 2700
1. Topic outline. The in-class exam on March 20 covers up to 5.1 in Devore. Rough outline of
topics:
(a) Descriptive Stats
Summarize sample with a few summary stats:
For location: sample mean, median;
For spread:
ENGRD 2700, Basic Engineering Probability and Statistics, Fall 2014
Homework 3
Due Tuesday, September 23, at the start of lecture.
1. A fair six-sided die is rolled until a 6 appears.
(a) Compute the probability that at most 6 rolls are needed.
(b) Find t
ENGRD2700
Basic Engineering Probability and Statistics
Homework 8: Point Estimation and Condence Intervals. Hand in by 1:30 pm on Friday, April 3 in the ENGRD2700 dropbox.
Spring 2009
Be sure to write your name and section number (16) on your home
ENGRD 2700 F13 Basic Engineering Probability and Statistics
Homework 10. The last one (sni !)
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work with
a partner and hand in a single homework with both your nam
ENGRD 2700, Summer 2014 Preliminary Exam
July 11, 2014 (75 minutes)
Name (Print):
Net ID:
Notes and Instructions
1. The exam begins at 1:00 pm, and ends at 2:15 pm.
2. The exam contains 9 (one-sided) pages, including the cover page. Please notify the
inst
ENGRD 2700 F11 Basic Engineering Probability and Statistics
Homework 10. The last one (sni !)
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work with
a partner and hand in a single homework with both your nam
ENGRD 2700 F13 Basic Engineering Probability and Statistics
Homework 8
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work with
a partner and hand in a single homework with both your names (and net IDs, sectio
ENGRD 2700, Basic Engineering Probability and Statistics, Spring 2016
Homework 3
Submit before 1pm on Friday, February 26 to the drop box in the 2nd floor of Rhodes Hall. You may work
in pairs. The same stipulations from Homework 1 (e.g., NetIDs, section
ENGRD2700
Basic Engineering Probability and Statistics
Fall 2011
Recitation 2: 1-6 September 2011
If not already done, please sign up (after recitation) for an ORIE computer account at
intranet.orie.cornell.edu.
A geyser is a hot spring that occasionally
ENGRD 2700, Basic Engineering Probability and Statistics, Spring 2016
Homework 2
Submit by Friday, February 12 at 1 pm to the drop box in the 2nd floor of Rhodes Hall. You may work in
pairs. The same stipulations from Homework 1 (e.g., NetIDs, section num
ENGRD 2700 F13 Basic Engineering Probability and Statistics
Homework 3
The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work
with a partner and hand in a single homework with both your names (and net IDs, sectio
Engineering Statistics
ENGRD270 Homework 5: Continuous Random Variables Spring 2008
Hand in by 1:30pm on Fri, Feb 29 in the ENGRD270 dropbox Be sure to write your name and section number (16) or day&time on your homework. 1. Devore (7th Ed.) Page 13
ENGRD 2700, Fall 2016
1
Discussion Section 7: Law of Large Numbers, Central Limit
Theorem
1
Review
Let X1 , . . . , Xn be i.i.d. (independently and identically distributed) random variables with
mean E[X1 ] = and variance Var(X1 ) = 2 .
The sum and avera
ENGRD 2700 Preliminary Exam
Fall 2016 (70 minutes)
Name (Print): M
NetID:
Section Number:
Instructions
1. The exam begins at 1:30pm, and ends at 2:40pm.
2. The exam contains 7 (onesided) pages, including the cover page. The exam begins on
page 3. Plea
Covariance & Correlation
Jefferson Huang
ENGRD 2700: Basic Engineering Probability & Statistics
Cornell University
Fall 2016
Based on notes written by Kenneth Chong, and notes written by Sid Resnick and
modified by David Matteson, Dawn Woodard, Mark Lewis
ENGRD 2700, Fall 2016
1
Discussion Section 6: Covariance, Correlation, Sums of R.V.s
1
Review
The covariance between two random variables X and Y is
Cov(X, Y ) = E (X E[X])(Y E[Y ]) = E[XY ] E[X]E[Y ]
If X and Y are independent, then Cov(X, Y ) = 0. How