Prof. A. Suciu
MTH 1187Probability
Name:
QUIZ 1
Winter 2001
Instructions: This is an open-book quiz. There are 2 problems, each worth 5 points. Put your name
in the blanks above. Show your work! if there is not enough room, use the back page. Give all
num
Prof. A. Suciu
MTH 1187Probability
Name:
EXAM 2
Winter 2001
Instructions: This is an open-book, open-notes exam. There are 6 problems, worth 40 points in all.
Put your name in the blanks above. Show your work! if there is not enough room, use the back
pag
Prof. A. Suciu
MTH 1187Probability
Winter 2001
Practice Problems for Exam 2
(1) Let A and B be events such that P (A) = 0.7, P (B ) = 0.4, P (A B ) = 0.9.
(a) Find P (A B ), P (A | B ), P (B | A).
(b) Are A and B mutually exclusive? Why, or why not?
(c) A
Prof. A. Suciu
MTH 1187Probability
Name:
EXAM 1
Winter 2001
Instructions: This is an open-book exam. There are 5 problems, worth 40 points in all. Put your
name in the blanks above. Put your nal answers to each question in the designated spaces on these
p
Prof. A. Suciu
MTH 1187Probability
Name:
MAKE-UP EXAM 2
Winter 2001
Instructions: This is an open-book, open-notes exam. There are 5 problems, worth 40 points in all.
Put your name in the blanks above. Show your work! if there is not enough room, use the
Prof. A. Suciu
MTH 1187Probability
Name:
EXAM 3
Winter 2001
Instructions: This is an open-book, open-notes exam. There are 4 problems, each worth 10 points. Put
your name in the blanks above. Show your work! if there is not enough room, use the back page.
Prof. A. Suciu
SOLUTIONS to EXAM 3
MTH 1187Probability
Winter 2001
(1) A random variable X has E (X ) = 4 and E (X 2 ) = 30. Let Y = 3X + 7. Compute:
(a) V (X ) = E (X 2 ) E (X )2 = 14
(b) V (Y ) = (3)2 V (X ) = 126
(c) E (X + 5)2 ) = E (X 2 + 10X + 25) =
Prof. A. Suciu
MTH 1187Probability
Winter 2001
Practice Problems for Exam 3
(1) A random variable has probability distribution given by
x
1
0
1
2
3
P (X = x) 1/8 1/4 1/4 1/4 1/8
Find the mean and standard deviation of X .
Y \X
(2) Random variables X and Y
Name:
Instructor:
Department of Mathematics
Northeastern University
MTH 1187Probability
Winter 2001
FINAL EXAM
Instructions: This is an open-book, open-notes exam. Put your name, and the name of your
instructor, in the blanks above. There are 5 problems,