Fall 04
Math 3770
Name:
Final
Bonetto
Page 1 of 9
1) Let X1 and X2 two discrete random variables with a joint p.m.f given by:
p(1, 0) = p(1, 0) = p(0, 1) = p(0, 1) = 0.25
while p(x1 , x2 ) = 0 in all other cases. Compute:
a) the marginal p.m.f. pX1 (x1 )
1) In a box there are 3 red balls and 3 blue balls. You extract a ball at random. Let X be the
random variable that describe the result of this extraction with X = 1 if the ball extracted
is red and X = 0 if it is blue. Without reinserting the first ball
Spring 06
Math 3770
Name:
Final
1a
4a
1b
4b
2a
4c
2b
4d
3a
4e
3b
5a
3c
5b
Bonetto
Page 1 of 8
1) Let X1 and X2 be two discrete random variables with a joint p.m.f given by:
p(1, 0) = p(1, 0) = p(0, 1) = p(0, 1) = 0.1
p(0, 0) = 0.6
while p(x1 , x2 ) = 0 in
Page 1 of 5
Spring 04
Math 3770
Name:
Final Exam
Bonetto
The test consist of 5 exercises witha total of 26 questions. You should solve 20
of them, of your choice, to get a full score.
1) Let X and Y be two continuous r.v. with joint p.d.f. given by
(x + y
Fall 04
Math 3770
Name:
Final
Bonetto
Page 1 of 9
1) Let X1 and X2 two discrete random variables with a joint p.m.f given by:
p(1, 0) = p(1, 0) = p(0, 1) = p(0, 1) = 0.25
while p(x1 , x2 ) = 0 in all other cases. Compute:
a) the marginal p.m.f. pX1 (x1 )
Spring 07
Math 3770
Name: _
Final exam
Bonetto
1a
1b
1a
2b
2
2d
2e
2f
3a
3b
4a
4b
4
5a
5b
Total
1
1. Consider the iruit shown in the gure. The system fails as soon as one of the two elements
fails. Element A has a life time desribed by an exponential r.v.
1) In a box there are 3 red balls and 3 blue balls. You extract a ball at random. Let X be the
random variable that describe the result of this extraction with X = 1 if the ball extracted
is red and X = 0 if it is blue. Without reinserting the first ball
Spring 06
Math 3770
Name:
Final
Bonetto
Page 1 of 8
1) Let X1 and X2 be two discrete random variables with a joint p.m.f given by:
p(1, 0) = p(1, 0) = p(0, 1) = p(0, 1) = 0.1
p(0, 0) = 0.6
while p(x1 , x2 ) = 0 in all other cases. Compute:
a) the marginal
Fall 05
Math 3770
Name:
Final
Bonetto
Page 1 of 9
1) Let X1 and X2 two discrete random variables with a joint p.m.f given by:
p(1, 0) = p(1, 0) = p(0, 1) = p(0, 1) = 0.125
p(0, 0) = 0.5
while p(x1 , x2 ) = 0 in all other cases. Compute:
a) the marginal p.
MATH 3770 K
FALL 2012
COURSE POLICIES AND EXPECTATIONS
1. Course Information
Course
Lecture
Time/Location
Oce Hours
Oce
Website
Required Text
MATH 3770 K: Statistics and Applications
Allen K. Homeyer (ahoff@math.gatech.edu)
TR 1:35 - 2:55 pm in Weber SST
MATH 3770
Test I
Thursday June 07, 2012
Houdr
e
Name:
Answer all questions; write neatly, show all work for full credit; closed books, no calculators. The point value for each problem is indicated. THE HONOR CODE APPLIES TO
THIS CLASS
Problem
Points
1
20
Spring 06
Math 3770
Name:
Final
Bonetto
Page 1 of 8
1) Let X1 and X2 be two discrete random variables with a joint p.m.f given by:
p(1, 0) = p(1, 0) = p(0, 1) = p(0, 1) = 0.1
p(0, 0) = 0.6
while p(x1 , x2 ) = 0 in all other cases. Compute:
a) the marginal
Fall 04
Math 3770
Name:
Test 1
Bonetto
Page 1 of 4
1) The following number represent a sample of size n = 19 form a given population.
0.985 0.645 0.118 0.894 0.784 0.101
0.253 0.321 1.832 0.378 0.679 0.681
0.753 0.006 0.624 1.104 0.273 0.126 0.618
a) Comp
Spring 07
Math 3770
Name:
Test 1
Bonetto
Page 1 of 5
1) The following numbers xi , i = 1, . . . , 18, represent a sample of size n = 18 from a
given population.
2.1389 2.8132 2.4451 2.4660 2.6038 2.4186
3.8592 2.1988 2.3529 2.2028 2.7468 1.5104
2.1987 2.5
Fall 04
Math 3770
Name:
Test 2
Bonetto
Page 1 of 4
1) In a bowl there are 3 balls numbered form 1 to 3. You extract two of them without
reinsertion. Let X1 the result of the rst extraction and X2 the result of the second
one. Compute:
a) the joint probabi
Math 3770 G: Statistics and Applications
Spring Semester 2014
Time: MWF 12:05-12:55 pm
Location: Coll of Computing 17
General information
Instructor:
Email:
Phone:
Oce:
Oce hours:
Text:
Note:
David Murrugarra
davidmur@math.gatech.edu
(404) 894-9364
Skiles
Spring 07
Math 3770
Name: _
Final exam
Bonetto
1a
1b
1a
2b
2
2d
2e
2f
3a
3b
4a
4b
4
5a
5b
Total
1
1. Consider the iruit shown in the gure. The system fails as soon as one of the two elements
fails. Element A has a life time desribed by an exponential r.v.