Thursday,
March 7, 2013
Introduction to Probability Theory
Stat 410 Section 0301
Midterm 1
1. Consider 8 balls numbered from 1 to 8. An experiment consists of selecting 2 of the balls. Let
X be the random variable denoting the smallest number of the two s
Final Exam Stat 410
May 17, 2010
Problem 1. Ms. Glazers class is composed of 15 girls and 9 boys.
A total of 40% of the girls and 20% of the boys get A in the math test.
1. What percentage of those getting A were girls?
2. What percentage of the class did
Stat 410, Final Exam
November 16th, 2010
Problem 1. A box contains 10 red balls and 15 blue balls. A ball is
extracted from the box, discarded and replaced by a ball of the other
color. A second ball is then extracted.
1. Compute the probability that the
Stat 410, Final Exam
December 17th, 2011
Problem 1. [17] Two events have P(A) = 1/4, P(B |A) = 1/2 and
P(A|B ) = 1/3. Compute
1. P(A B ),
2. P(A B ).
Problem 2. [17] Let (X1 , X2 , X3 , X4 ) be a random vector, where the
components Xk , k = 1, . . . , 4,
Second Midterm - Introduction to Probability Theory
Stat 410, April 11, 2013
The exam consists of 4 problems that are worth a total of 200 points. To receive full credit, you
must show all of your work. No books, notes or electronic equipment are allowed.
Saturday,
May 11, 2013
15 P.
Final exam
Introduction to Probability Theory
Stat 410 Section 0301
1. Consider two urns. Urn 1 contains 3 blue balls and 3 red balls, and urn 2 contains 2
blue balls and 4 red balls. A ball is selected at random from each of
S. Cami
Final Exam, May 15, 2014
Stat 410 - Session 0101
Problem 1. [ points] The number of eggs laid by an insect is a
random variable X having Poisson distribution of parameter /\ > 0.
The probability that an insect develops from each egg is (1. Assume
B. Kedem, Spring 2009 (May 18, 2009)
STAT 410 Final Exam
1 (20 pts.) Consider a casino that uses two kinds of dice. Of the dice, 99% are
fair but 1% are loaded so that six comes 50% of the time. Suppose we
choose a die at random and roll it 3 times. For t
[(ajn
STAT 410 - FINAL EXAM - December 19, 2014
Instructions: Show all the work related to your solution. Credit may be
deducted for numerical answers unsupported by valid reasoning or calcula-
tions. You may use calculators as needed.
[45=35+10] 1. Four
(1) A certain type of CD players is produced by two factories (CD
players produced by both factories look identical). Factory A
produces 40 % of all players and factory B produces 60 % of all
players. 1% of all players produced at factory A are defective