Review Sheet for MTH 201
Timur Akhunov
November 14, 2013
Here is a list to summarize the material covered on the Midterm 2.
Material covered
Ross: Chapter 4 (every section), Chapter 5 (5.1 through 5.5), section 7.7 (for a denition of moment
generating fun
Math 201 - Homework 4
Exercise 1.
Suppose that a persons birthday is a uniformly random choice from the
365 days of a year (leap years are ignored), and one persons birthday is independent of the
birthdays of other people. Alex, Betty and Conlin are compa
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 single shot is 1/8.
The probability that May hits the ta
Math 201 - Homework 7
Exercise 1.
The homework submissions to the university computer center start at midnight (00:00). The number of homework submissions between midnight and any time t > 0
afterwords is distributed Poisson with mean t, where > 0 is some
Math 201 - Homework 3
Exercise 1.
An urn contains b red and c green balls. One ball is drawn randomly from
the urn and its color observed; it is then returned in the urn, and additional r balls of the
same color is added to the urn, and the selection proc
Math 201 - Homework 7
Exercise 1.
Choose a point uniformly at random from the triangle with
vertices (0, 0), (0, 30), and (20, 30). Let (X, Y ) be the coordinates of the
chosen point.
(a) Find the cumulative distribution function of X.
(b) Use part (a) to
Here is a list to summarize the material covered on the Midterm 1.
Material covered
Ross: Chapter 1 (every section), Chapter 2 (exclude 2.6) and Chapter 3.
Denitions you should know (precise denition, examples and
informal understanding)
It is a fair game
Math 201
Midterm 1
October 13, 2015
Your name:
Circle your professors name:
Your student ID:
Hambrook
Mkrtchyan
Neuman
Sign the honor pledge: I affirm that I will not give or receive any unauthorized
help on this exam, and that all work will be my own.:
Math 201 - Homework 5
Exercise 1.
(a) Show that if X Geom(p) then
P (X = n + k|X > n) = P (X = k), for every n, k 1.
This one of the ways to define the memoryless property of the geometric distribution. It
states the following: given that there are no suc
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) What is the number of possible outcomes?
Every spot in