ENGRD 270 — Spring 2002 — Final Exam
Friday 5/17/02
Instructions:
(1) Show your work for each problem and clearly identify the final answer where appropriate.
(2) The exam is
closed book and closed notes, but calculators are indeed allowed
. In addition, a
fairly comprehensive formula sheet is provided in your exam packet.
(3) There are 12 problems altogether. Work steadily, and be sure to show all your work. If you
get stuck on a problem, move on to another one and come back to the sticky one later.
(4) You may ask the instructor or TA for clarification on the wording of a particular problem, but
do not expect any hints or suggestions for how to proceed.
(5) Probability tables for
z
,
t
,
χ
2
,
and
F
distributions, tables of quality control constants, and
formula sheets handed out separately.
(6) You have until 2:45 to complete the exam. At 2:45 the box in the front of the room will leave.
Papers not in the box at that time will not be graded.
Academic Integrity:
Please be aware that giving or receiving unauthorized assitance (e.g., using notes, having
someone else take the exam for you, copying from a neighbor’s paper, letting someone else copy
your paper, using an internet capable device or other electronic communication device, passing
notes, etc.) on the exam is a violation of academic integrity for which you should expect to fail
the course if caught. Please also be aware that “I didn't know anyone was copying my paper” is
not a valid excuse for having a paper that is eerily similar to another student’s.
1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Problem 1. (10 points through problem 1)
A random sample of size
n
= 100 was drawn from a population. A
histogram of the data is shown in the figure.
a. (5 pts)
Multiple choice.
The histogram indicates
the distribution is:
A. normal
B. chisquared
C. lighttailed
D. heavytailed
b. (5 pts)
Multiple choice.
Let
X
be a random
variable for an observation from the population
discussed above. Suppose the population mean
μ
and population variance
σ
2
are known. After
assuming that the population is normal a probablist
calculates

≥
=
≥
σ
μ
5
)
5
(
Z
P
X
P
.
Assuming she makes no calculation errors, she:
A. overestimates the true probability
B. underestimates the true probability
C. gets the true probability exactly right
D. still cannot calculate the true probability because of random variation.
Problem 2. (20 points through problem 2)
Suppose that among engineering students, 13% of men and 9% of
women are lefthanded.
a. (5 pts)
Assuming 22% of the engineering students are women, what is the probability that a randomly selected
engineering student is lefthanded?
b. (5 pts)
Suppose in the course of her Cornell undergraduate career, a woman has 5 boyfriends who are all
engineering students. If the boyfriends are randomly selected, what is the probability that there would be 3 or more
lefthanders in her sample of 5 boyfriends?
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '05
 STAFF
 Standard Deviation, Variance, Probability theory, pts, probability density function

Click to edit the document details