SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #9
March 30, 2010
Assignment #9 due April 6th, 2010
(Uniform, Exponential and Normal random variables)
1. If X is a normal random variable with parameters = 10, 2 = 26, compute

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #3
February 3, 2010
Assignment #3 due February 9th, 2009
1. A group of 5 boys and 10 girls is lined up in random order that is, each of the 15! is
assumed to be equally likely.

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Solution to Practice Problem Set #1
February 16, 2010
Solution to Practice Problem Set #1
1. Five independent ips of a fair coin are made. Find the probability that
(a) the rst three ips a

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Page 1 of 5
Solution of Quiz 2
April 21, 2010
Quiz 2
Place all answers on the question sheet provided. This quiz is open textbook (Ross) and open
notes/homework. You are allowed to use a c

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Page 1 of 6
First Quiz
February 18, 2010
First Quiz
Place all answers on the question sheet provided. The quiz is open textbook (Ross) and open notes/homework.
You are allowed to use a cal

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Page 1 of 9
Midterm
March 24, 2010
Midterm
Place all answers on the question sheet provided. This midterm is open textbook (Ross) and open
notes/homework. You are allowed to use a calculat

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Practice Problem Set #1
February 10, 2010
Practice Problem Set #1
1. Five independent ips of a fair coin are made. Find the probability that
(a) the rst three ips are the same;
(b) either

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Solution of Assignment #12
April 27, 2010
Solution of Assignment #12
(Regression: linear (simple and multiple) and polynomial )
1. The following data represent the relationship between the

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #12
April 21, 2010
Assignment #12 due April 27th, 2010
(Regression: linear (simple and multiple) and polynomial )
1. The following data represent the relationship between the nu

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #1
January 25, 2010
Assignment #1 due January 26th, 2010
1. The following is a sample of prices, rounded to the nearest cent, charged per gallon of standard
unleaded gasoline in

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Solution of Assignment #11
April 20, 2010
Solution of Assignment #11
(Maximum likelihood estimator and condence interval)
1. Let X1 , . . . , Xn be a sample from the distribution whose den

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #11
April 15, 2010
Assignment #11
(Maximum likelihood estimator and condence interval)
1. Let X1 , . . . , Xn be a sample from the distribution whose density function is
fX (x)

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Solution to Assignment #5
February 24, 2010
Solution to Assignment #5
1. X is a continuous random variable with probability density function
fX (x) =
1/2, if 2 < x < 4;
0,
otherwise.
(a) C

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #5
February 17, 2010
Assignment #5 due February 23th, 2009
1. X is a continuous random variable with probability density function
fX (x) =
1/2, if 2 < x < 4;
0,
otherwise.
(a) C

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Solution to Assignment #4
February 17, 2010
Solution to Assignment #4
1. A red die, a blue die, and a yellow die (all six-sided) are rolled. We are interested in the
probability that the n

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #4
February 10, 2010
Assignment #4 due February 16th, 2010
1. A red die, a blue die, and a yellow die (all six-sided) are rolled. We are interested in the
probability that the n

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Solution to Assignment #3
February 9, 2010
Solution to Assignment #3
1. A group of 5 boys and 10 girls is lined up in random order - that is, each of the 15! is assumed
to be equally likel

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #2
February 2, 2010
Assignment #2 due February 2nd, 2010
1. The following are the grade point averages of 30 students recently admitted to the graduate program in the Department

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #2
January 30, 2010
Assignment #2 due February 2nd, 2010
1. The following are the grade point averages of 30 students recently admitted to the graduate program in the Department

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment SOLUTION #1
January 28, 2010
Assignment SOLUTION #1
1. The following is a sample of prices, rounded to the nearest cent, charged per gallon of standard
unleaded gasoline in the

SIEO 3600 (IEOR Majors)
Introduction to Probability and Statistics
Assignment #6
February 24, 2010
Assignment #6 due March 2nd, 2010
(Expectation and variance of random variables)
1. (continued with Problem 2 in HW5) X and Y are two continuous random vari