TOPIC

TEXT BY ROSS

ASSIGNMENTS

STUDY GUIDE

Introduction & Sample Space and Events

1.1-1.2

Chapter 1

(pages 15-21)

 

1, 3, 4, 8, 17, 19, 23, 26, 30, 31, 36, 37, 39, 42, 44, 46

I.1-I.2

I.3

Probabilities

1.3

I.4-I.5

Conditional Probabilities

1.4

I.5

Independent Events

1.5

I.5

Bayes' Formula

1.6

I.5

Random Variables

2.1

Chapter 2

Part I

(pages 85-90)

1, 2, 3, 6, 7, 8, 10, 12, 13, 14, 20, 21, 27, 31, 33, 34, 35, 38

II.2-II.3

Discrete Random Variables

2.2

II.1 Discrete Mathematics,

Binomial Theorem,

Geometric Series,

Maclaurin Series

Continuous Random Variables

2.3

II.1 The Derivative of a Function, Derivatives of the Composite Functions, The Definite Integral, Antidifferentiation, Evaluation of the Integrals, Methods of Integration, Some Special Functions

Expectation of a Random Variable

2.4

Chapter 2

Part II

(pages 90-92)

39, 40, 43, 46, 47, 48, 50, 51

 

II.1 Evaluation of the Definite Integrals by Using Antiderivatives, Methods of Integration

Jointly Distributed Random Variables

2.5

Chapter 2

Part III

(pages 92-96)

54, 55, 58, 60, 63, 68, 77

 

II.1 Some Results Involving Multivariate Calculus

Moment Generating Functions

2.6

II.1 Methods of Integration, Some Results Involving Limits

Limit Theorems

2.7

II.1 Some Results Involving Limits

Conditional Probability &

Conditional Expectation

Chapter 3

Chapter 3

(pages 165-173)

3, 4, 5, 7, 11, 13, 15, 35, 37, 46

 

II.1

Markov Chains

Chapter 4

Chapter 4

(pages 263-268)

2, 3, 6, 7, 8, 10, 14, 20, 22, 29, 30

 

I.6 & II.1

The Exponential Distribution & the Poisson Process

Chapter 5

TBA

II.1