MA523
Fall 2016
Solutions
Test 1
1
1. (10 pts ) Let the three mutually independent events A, B and C be such that P(A) = P(B) =P(C)= 4 .
Find [( ) ].
3
P(A ) = P(B ) =P(C )= 4
[( ) ] = ( ) + () ( ) =
MA 523 HW 1 Solutions
Fall 2016
Section 1.1
1.1-2
Let A = cfw_ insure more than one car and B = cfw_ insure a sports car. Then,
() = 0.85 and () = 0.23
( ) = 0.17
( ) = [( ) ] = 1 ( ) = 1 (0.85 + 0.23
Review Problems in textbook (Test 1)
P19
1.2-9
a) 4 games: Possible different orders = 2.
A
A A
A
N
N N N
4
4
b) 5 games: Possible different orders = ( ) + ( ) = 8 .
1
1
A
3As and 1Ns
N
3Ns and 1As
5
MA 523 Test 1 Review
September 8, 2016
Go through your class notes, examples that I taught in class, homework and class
work problems, make sure that you understand the concepts and can do the problem
Chapter 1: Probability
Chapter 1
In any scientific study of a physical phenomenon, it is
desirable to have a mathematical model that makes it
possible to describe or predict the observed value of some
Conditional Probability
Chapter 1
The most important concept in probability may be the
conditional probability. This is because
Partial information concerning the result of experiment often is
availab
Counting Techniques
Chapter 1
When an experiment consists of several operations and each
operation has a certain number of possible outcomes, then the total
number of possible outcomes for the experim
Chapter 2 (Sections 2.1-2.3)
Random Variable (r.v.)
Discrete r.v.
Distribution of a Random Variable
Probability mass function (pmf)
Cumulative distribution function (cdf)
Expectation of a Discrete Ran