MATH 201
HOMEWORK 7
WRITTEN PROBLEMS WITH SOLUTIONS
1. Suppose a series of games is played between two teams and that
in any individual game, one of the teams wins and the other team
loses. Let the pr
Homework 5
1. An electrical system consisting of n components is called a k-out-of-n
system (k n) if the system functions if and only if at least k out of the n
components are working. Suppose that ea
MATH 201
HOMEWORK 11
WRITTEN PROBLEMS WITH SOLUTIONS
1. Often, when presented with N data points (X1 , Y1 ), . . . , (XN , YN ),
one tries to find an ideal fitting line L that fits the data as well as
MATH 201
HOMEWORK 8
WRITTEN PROBLEMS WITH SOLUTIONS
1. Let X be a binomial random variable with parameters n and p.
Read about the moment generating function for this random variable
on page 335 to 33
Math 201
Midterm 1 ANSWERS
October 8, 2014
1. (11 points)
(a) Given 12 people, how many ways can we divide them into 3 teams with 4 players each,
called the Cardinals, the Bluejays, and the Vultures?
MATH 201
HOMEWORK 9
WRITTEN PROBLEMS WITH SOLUTIONS
1. In each of the following questions, a random variable is described.
Identify the random variable as either binomial, Poisson, geometric,
negative
MATH 201
HOMEWORK 12
WRITTEN PROBLEMS WITH SOLUTIONS
1. Let X and Y be two independent random variables. Often one has
to consider a new random variable W = min(X, Y ) which gives the
smaller of the v
MATH 201
HOMEWORK 2
WRITTEN PROBLEMS, SOLUTIONS
8. Prove that
n+m
n m
n
m
=
+
r
0
r
1
r1
n m
+ +
r
0
Hint: Consider a group of n men and m women. How many groups of
size r are possible?
Solution:
MATH 201
HOMEWORK 4
WRITTEN PROBLEMS
1. Jane has two children which were born on different dates. In
the community that Jane is from (and hence you can assume this
is also true for Jane) the possibili
MATH 201
HOMEWORK 3
WRITTEN PROBLEMS
5. A system is composed of 5 components, each of which is either
working or failed. Consider an experiment that consists of observing
the status of each component,
Corrections# 3, August 10, 2000
Introduction to Quantum Mechanics
by David Griths
inside front cover, under Generalized uncertainty principle: remove the
superscripted 2 on the right.
page 4, line 8
MTH 210
Final Exam - Practice
December 17, 2016
Last/Family Name:
First/Given Name:
Student ID Number:
Instructor (circle):
Hambrook (MWF 10:25)
Zhong (MW 12:30)
Honor Pledge: I affirm that I will not
1
MTH 210 - Homework 13 - Not handed in. Do as preparation for the final exam.
Exercise 1 (2 marks). For stock paying no income under the Black-Scholes model, prove
CK (t, T ) St
as .
Remark. This is
1
MTH 210 - Homework 5 - Due Wednesday, October 5, at the start of class
Exercise 1 (2 marks). The income may be negative if the asset has carrying costs, such
as insurance or storage costs. Suppose y
MATH 201 - INTRODUCTION TO PROBABILITY
Homework Assignment 1 Solutions
(1) A fair coin is tossed 11 times. In the end of the experiment we get an ordered vector of
length 11 with elements H and T.
(a)
Math 201 - Homework 2
Exercise 1. May and Jonny are playing paintball in opposite teams and they try to shoot
each other simultaneously.
The probability that both May and Jonny hit the target in a si
Math 201 - Homework 3
Exercise 1.
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the urn and its color observed; it is then returned in the urn, and additional r balls of the
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Written Homework 2
1. Suppose a tank with a 20L capacity is initially filled with 5L of water
in which 10g of salt is dissolved. A 4g/L salt solution pours in at a rate of
2L/min and a well-mixed solu
Written homework number 1
1. For simplicity, assume that all the cash flows in this problem occur continuously, rather than only at discrete times.
Suppose that your parents deposit money into your ba
1
MTH 210 - Homework 9 - Due Wednesday, November 9, at the start of class
Exercise 1 (0.5 marks for each part). Consider a forward contract, a European call option,
and a European put option on an ass