Probability and Statistics, Course 92.386/407
Test 3
Time: 1 hour 30 minutes
Please answer any five ofthe following six questions. Each question is worth 5 points Numerical answers without supporting statements will not be given credit, L If the tim
Probability and Statistics Course 92.386
Test 2
Time: 1 hour 30 minutes
Please answer any five of the following six questions. Each question is worth 5 points Note: Numerical answers without supporting statements will not be given credit. 1. A coin
Probability and Statistics
Course 92.386
Final Examination Time: 2 hours
Answer any 6 of the following 8 questions. Each question is worth 5 points
1. In a certain assembly plant, three machines, B 1, B2, B 3, make 30%, 45%, and 25%, respectively
Cornell University
Math 4710
November 12, 2010
Test 2
Name:
a) Legibly print your name above.
b) Do not open this test booklet until you are directed to do so.
c) Budget your time wisely!
d) This test is closed book and closed notes. You will have until 9
BASIC CONCEPTS OF SET THEORY
-SETS
The concept of a set and the properties of sets derived from certain fundamental assumptions or axioms form the basis of all modern mathematics. Axiomatic Set Theory derives the properties ot sets but does not defin
Cornell University
Math 4710
October 1, 2010
Test 1
Name:
Legibly print your name above.
Do not open this test booklet until you are directed to do so.
Budget your time wisely!
This test is closed book, closed notes. Scientic calculators are allowed,
Practice Problems: Computing the density of X + Y .
1) Let X Exp() and Y Exp(), and let X and Y be independent. Compute the p.d.f.
of X + Y .
1
2) Let X and Y be independent with marginal density functions
fX (x) =
2x 0 x 1
0
otherwise
and fY (y ) =
Compu
Probability and Statistics Course 92.386/407 Test 1 Time: 1 hour 30 minutes
Please answer any five of the following six questions. Each question is worth 5 points Note: Numerical answers without supporting statements will not be given credit. 1. a.