Math 30-440: Probability and Statistics
Spring Semester 2008
Solutions to Homework 4
1. Problem 40: If the expectation is 2, and the random variable takes on only values 1, 2 and
3, then the way to ma
Math 30440 Probability and Statistics
Spring 2010 second mid-term exam practice problems 2
Instructors: David Galvin and Daniel Cibotaru
1. The time until the next large earthquake (magnitude greater
Math 30440 Probability and Statistics
Spring 2010 second mid-term exam practice problems
Instructors: David Galvin and Daniel Cibotaru
1. Let X and Y be continuous independent random variables, with X
Math 30-440: Probability and Statistics
Spring Semester 2008
Exam 2 Solutions
1. (20 pts) a) A random sample of size 4 is taken from an unknown distribution, and the observed
values are 2, 8, 0 and 6.
Math 30-440: Probability and Statistics
Spring Semester 2008
Exam 1 Solutions
1. (14 pts) A standard deck of cards contains 52 cards (4 suits, 13 denominations in each suit).
A poker hand contains 5 c
Prob & Stats SPRING 2008
Practice I
Problem 1.
A dodecahedron is a solid with 12 sides and is often used to display 12 months of the year. When
this object is rolled, let the outcome be taken as the m
Prob & Stats SPRING 2008
Practice II
Solutions
Problem 1.
Let X and Y be continuous independent random variables, Y is uniformly distributed in [0, 1] and
X has an exponential distribution with a para
Prob & Stats SPRING 2008
Practice II
Problem 1.
Let X and Y be continuous independent random variables, Y is uniformly distributed in [0, 1] and
X has an exponential distribution with a parameter = 1.
Math 30440 Probability and Statistics
Spring 2010 rst mid-term exam practice problems
Instructors: David Galvin and Daniel Cibotaru
1. A random variable X is given by density function
c
x4
f ( x) =
0