Introduction to Probability Theory
36-225
Quiz #1 - Friday 5/25/2012
1. Parameter is to population as statistic is to
Summer I, 2012
.
2. Dene what it means for two events, A and B to be mutually exclusive.
(Both as an expression and in a Venn diagram)
3.
Introduction to Probability Theory
36-225
HOMEWORK 5
Summer I, 2012
Due: Thursday June 21st at the beginning of class.
Be sure to:
Show all work.
Make sure you write up your homework on your own, even if you worked with someone else on
the problems.
St
Introduction to Probability Theory
36-225
HOMEWORK 4
Summer I, 2012
Due: Thursday June 14th at the beginning of class.
Be sure to:
Show all work.
Make sure you write up your homework on your own, even if you worked with someone else on
the problems.
St
Introduction to Probability Theory
36-225
HOMEWORK 3
Summer I, 2012
Due: Thursday June 7th at the beginning of class.
Be sure to:
Show all work.
Make sure you write up your homework on your own, even if you worked with someone else on
the problems.
Sta
Introduction to Probability Theory
36-225
HOMEWORK 2
Summer I, 2012
Due: Wednesday May 30th at the beginning of class.
Be sure to:
Show all work.
Make sure you write up your homework on your own, even if you worked with someone else on
the problems.
St
Introduction to Probability Theory
36-225
HOMEWORK 1
Summer I, 2012
Due: Friday May 25th at the beginning of class.
Be sure to:
Show all work.
Make sure you write up your homework on your own, even if you worked with someone else on
the problems.
Stapl
Introduction to Probability Theory
36-225
Quiz #4 - SOLUTIONS - Friday 6/15/2012
Summer I, 2012
1. If X is a continuous RV, which of the following is false?
(a) fX (x) = P (a X b)
x
(b) FX (x) =
fX (t)dt
x fX (x)dx
(c) E (X ) =
(d) E (X 2 ) = V (X ) + [E
Introduction to Probability Theory
36-225
Quiz #4 - Friday 6/15/2012
Summer I, 2012
1. If X is a continuous RV, which of the following is false?
(a) fX (x) = P (a X b)
x
(b) FX (x) =
fX (t)dt
x fX (x)dx
(c) E (X ) =
(d) E (X 2 ) = V (X ) + [E (X )]2
2. Wh
Introduction to Probability Theory
36-225
Quiz #3 - SOLUTIONS - Wednesday 6/6/2012
Summer I, 2012
1. Which of the following is false?
Note: Capital letters are RVs and lower case letters are non-zero constants.
(a) E (aX 2 ) = aV (X ) + aE (X )2
(b) V (b3
Introduction to Probability Theory
36-225
Quiz #3 - Wednesday 6/6/2012
Summer I, 2012
1. Which of the following is false?
Note: Capital letters are RVs and lower case letters are non-zero constants.
(a) E (aX 2 ) = aV (X ) + aE (X )2
(b) V (b3 T ) = (b2 )
Introduction to Probability Theory
36-225
Quiz #2 - Friday 6/1/2012 - SOLUTIONS
Summer I, 2012
1. Which of the following is equivalent to P (A|B )?
(a) 1 P (A|B )
(b)
(c)
(d)
P (AB )
P (A)
P (B |A)P (A)
P (B )
P (AB )
P (B )
2. Which of the following cond
Introduction to Probability Theory
36-225
Quiz #2 - Friday 6/1/2012
Summer I, 2012
1. Which of the following is equivalent to P (A|B )?
(a) 1 P (A|B )
(b)
P (AB )
P (A)
(c)
P (B |A)P (A)
P (B )
(d)
P (AB )
P (B ) a
2. Which of the following conditions imp
Introduction to Probability Theory
36-225
Quiz #1 - Friday 5/25/2012
Summer I, 2012
1. Parameter is to population as statistic is to sample.
2. Dene what it means for two events, A and B to be mutually exclusive.
(Both as an expression and in a Venn diagr
Introduction to Probability Theory
36-225
HOMEWORK 6
Summer I, 2012
Due: Thursday June 28th at the beginning of class.
Be sure to:
Show all work.
Make sure you write up your homework on your own, even if you worked with someone else on
the problems.
St