Math 362K Probability
Fall 2007
Instructor: Geir Helleloid
Daily Homework 7 Solutions
1. (Chapter 4, Problem 1) Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black ball selected
Math 362K Probability
Fall 2007
Instructor: Geir Helleloid
Daily Homework 7 Solutions
1. (Chapter 4, Problem 1) Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black ball selected
Assignment #5 Solutions
p. 172: 1, 4, 5, 7, 19, 20, 27, 30, 31, t2, (s4), (s7)
4.1 Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls.
Suppose that we win $2 for each black ball selected and we lose $1 for each white
Math 362K Probability
Fall 2007
Instructor: Geir Helleloid
Daily Homework 7 Solutions
1. (Chapter 4, Problem 1) Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black ball selected
Mathematics 4800
Midterm 1- Solution
October 7th 2010
Partial credit will be awarded for your answers, so it is to your advantage to explain your
reasoning and what theorems you are using when you write your solutions. Please answer
the questions in the s
Solutions to Problem Assignment #5 Math 5011, Spring 2006 University of Utah
Problems: 1. A gambling book recommends the following "winnin strategy" for the game of roulette: It recommends that the gambler bet $1 on red. If red appears (this has probabili
ECO 227Y1
Sample Examination Questions
12 October 2010
1. Two six-sided dice are thrown sequentially, and the face values that come
up are recorded.
(a) List the sample space.
cfw_(n1 , n2 ) : n1 , n2 cfw_1, . . . , 6.
(b) List the elements that make up
Homework 5 (due October 27, 2009)
Problem 1. Each night dierent meteorologists give us the probability that it will rain the
next day. To judge how well meteorologists predict, we will score each of them as follows: If
a meteorologist says that it will ra
Math/Stat 394 Homework 5
1. If we select two black balls then X = 4. This happens with probability
(4)
2
. If we select two white balls then X = 2. This happens with
(14)
2
(8)
2
probability 14 . If we select two orange balls then X = 0. This
(2)
( 2)
2
h
Math 362K Probability
Fall 2007
Instructor: Geir Helleloid
Daily Homework 8 Solutions
1. (Chapter 4, Problem 30) A person tosses a fair coin until a tail appears for the first time. If the tail appears on the n-th flip, the person wins 2n dollars. Let X d
Midterm Exam
Wednesday, Oct. 14, 2009 1. A simplied model of the human blood-type system has four blood types: A, B, AB, and O. There are two antigens, anti-A and anti-B, that react with a persons blood in dierent ways depending on the blood type. Anti-A
Chapter 1
mull!
Combinatorial
Analysis
1.1 INTRODUCTION
Here is a typical problem of interest involving probability. A communication system
is to consist of n seemingly identical antennas that are to be lined up in a linear order.
The res
Random Variable
Denition
A random variable X on a sample space is a real-valued
probability function on ; that is, X : R. A discrete random
variable is a random variable that takes on only a nite or
countably innite number of values.
Independence
Denition
Problems and results for the eighth week
Mathematics A3 for Civil Engineering students
1. We roll a fair die. What is the probability that we roll a 6, if we know that:
the roll is an even number?
the roll is at least 3?
the roll is at most 5?
2. We ro
Homework assignments A rst course in probability
Math 375-T
Bernhard Krn
o
1st Homework, due Thursday 5 February
Whenever possible, apply the basic principle of combinatorics, the multinomial
model, the coin model, or the general urn model. If you apply t
1
STT441 Midterm
Name:
1. In how many ways can 6 boys and 3 girls can sit in a row, but no two girls are allowed
to sit together?
A: Say they must sit as BGBGBGBBB. This case there are 6!(3!) dierent ways.
But then if Girls must sit between boys, congurat