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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 1-1 
Probability, Statistics, and Random Processes for Electrical Engineers 
Chapter 1: Probability Models in Electrical and 
Computer Engineering 
 
 
 
 
 
 
1.1 
1.2 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 1-2 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
1.3 
1.4 
1.5 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 1-3 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
1.6 
1.7 
1.8 
1.9 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 1-4 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
1.10 
1.11 
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Instructor’s Solutions Manual 2-1 
Probability, Statistics, and Random Processes for Electrical Engineers 
Chapter 2: Basic Concepts of Probability Theory 
 
2.1 Specifying Random Experiments 
 
 
 
 
 
2.1 
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Instructor’s Solutions Manual 2-2 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
2.2 
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Instructor’s Solutions Manual 2-3 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
2.3 
2.4 
2.5 
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Instructor’s Solutions Manual 2-4 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
2.6 
2.7 
2.8 
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Instructor’s Solutions Manual 2-5 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
2.9 
2.10 
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Instructor’s Solutions Manual 2-6 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2.11
2.12 
2.13 
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Instructor’s Solutions Manual 2-7 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
2.14 
2.15 
2.16 
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Instructor’s Solutions Manual 2-8 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.17 
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Instructor’s Solutions Manual 2-9 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
2.18 
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Instructor’s Solutions Manual 2-10 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
2.19 
2.20 
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Instructor’s Solutions Manual 2-11 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.2 The Axioms of Probability 
 
 
 
 
 
 
 
 
2.21 
2.22 
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Instructor’s Solutions Manual 2-12 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
2.26 
2.25 
2.24 
2.23 
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Instructor’s Solutions Manual 2-13 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
2.27 
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Instructor’s Solutions Manual 2-14 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.28 
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Instructor’s Solutions Manual 2-15 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
2.29 
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Instructor’s Solutions Manual 2-16 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
2.30 
(c) 
2.31 
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Instructor’s Solutions Manual 2-17 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
2.32 
2.33 
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Instructor’s Solutions Manual 2-18 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2.34 
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Instructor’s Solutions Manual 2-19 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
2.35 
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Instructor’s Solutions Manual 2-20 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
2.36 
2.37 
2.38 
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Instructor’s Solutions Manual 2-21 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.3 *Computing Probabilities Using Counting Methods 
 
 
 
 
 
 
 
 
 
 
 
 
2.39 
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2.44 
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Instructor’s Solutions Manual 2-22 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
2.45 
2.46 
2.47 
2.48 
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Instructor’s Solutions Manual 2-23 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
 
 
2.49 
2.53 
2.52 
2.51 
2.50 
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Instructor’s Solutions Manual 2-24 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
2.55 
2.54a 
(b) 
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Instructor’s Solutions Manual 2-25 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
2.58 
2.57 
2.56 
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Instructor’s Solutions Manual 2-26 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
2.59 
2.60 
2.61 
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Instructor’s Solutions Manual 2-27 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.4 Conditional Probability 
 
 
 
 
 
 
2.63a 
2.62 
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Instructor’s Solutions Manual 2-28 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
2.64 
2.63c 
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Instructor’s Solutions Manual 2-29 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2.65 
2.67 
2.66 
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Instructor’s Solutions Manual 2-30 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
2.68 
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Instructor’s Solutions Manual 2-31 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
 
2.70 
2.71 
2.69 
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Instructor’s SolutionsManual 2-32 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
2.72 
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Instructor’s Solutions Manual 2-33 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
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2.74 
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Instructor’s Solutions Manual 2-34 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
2.75 
2.76 
(b) 
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Instructor’s Solutions Manual 2-35 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
2.77 
2.78 
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Instructor’s Solutions Manual 2-36 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
2.79 
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Instructor’s Solutions Manual 2-37 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
2.80 
2.81 
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Instructor’s Solutions Manual 2-38 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.5 Independence of Events 
 
 
 
 
 
 
 
 
 
 
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2.82 
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Instructor’s Solutions Manual 2-39 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
2.85 
2.86 
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Instructor’s Solutions Manual 2-40 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
2.87 
2.88 
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Instructor’s Solutions Manual 2-41 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
 
2.89 
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2.91 
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Instructor’s Solutions Manual 2-42 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
2.92 
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Instructor’s Solutions Manual 2-43 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
2.95 
2.96 
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Instructor’s Solutions Manual 2-44 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.6 Sequential Experiments 
 
 
 
 
 
 
 
 
2.97 
2.98 
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Instructor’s Solutions Manual 2-45 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
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Instructor’s Solutions Manual 2-46 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
2.102 
2.103 
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Instructor’s Solutions Manual 2-47 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
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2.105 
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Instructor’s Solutions Manual 2-48 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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2.107 
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Instructor’s Solutions Manual 2-49 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
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Instructor’s Solutions Manual 2-50 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.7 *Synthesizing Randomness: Random Number Generators 
 
 
 
 
2.109 
2.110 
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Instructor’s Solutions Manual 2-51 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
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Probability, Statistics, and Random Processes for Electrical Engineers 
 
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Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
 
 
 
 
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Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
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Instructor’s Solutions Manual 2-55 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.8 *Fine Points: Event Classes 
 
 
2.117 
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Probability, Statistics, and Random Processes for Electrical Engineers 
 
(d) 
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Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
2.118 
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Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
2.119 
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Instructor’s Solutions Manual 2-59 
Probability, Statistics, and Random Processes for Electrical Engineers 
2.9 *Fine Points: Probabilities of Sequences of Events 
 
 
 
 
 
 
 
 
 
 
2.120 
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Instructor’s Solutions Manual 2-60 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
 
 
 
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Instructor’s Solutions Manual 2-61 
Probability, Statistics, and Random Processes for Electrical Engineers 
Problems Requiring Cumulative Knowledge 
 
2.125 
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Instructor’s Solutions Manual 2-62 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
 
 
2.126 
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Probability, Statistics, and Random Processes for Electrical Engineers 
2.128 
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Instructor’s Solutions Manual 2-64 
Probability, Statistics, and Random Processes for Electrical Engineers 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-1 
Probability, Statistics, and Random Processes for Electrical Engineering 
Chapter 3: Discrete Random Variables 
3.1 The Notion of a Random Variable 
 
 
3.1 
 
 
 
 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-2 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.2 
 
 
 
 
 
3.3 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-3 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
 
 
 
 
 
 
 
 
3.4 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-4 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.5 
 
 
 
 
 
3.6 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-5 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.7 
 
 
 
 
 
3.8 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-6 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.9 
 
 
 
 
3.10 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-7 
Probability, Statistics, and Random Processes for Electrical Engineering 
3.2 Discrete Random Variables And Probability Mass Function 
 
 
 
 
3.11 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-8 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
 
3.12 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-9 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.13 
 
 
 
 
3.14 
 
 
 
3.15 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-10 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.16 
 
 
3.17 
 
 
3.18 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-11 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.19 
 
 
 
 
 
3.20 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-12 
Probability, Statistics, and Random Processes for Electrical Engineering 
3.3 Expected Value and Moments of Discrete Random Variable 
 
 
3.21 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-13 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.22 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-14 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.23 
 
 
 
 
3.24 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-15 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.25 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-16 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
 
 
 
 
 
3.26 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-17 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.27 
 
 
 
 
 
 
3.28 
 
 
 
 
 
 
 
 
 
 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-18 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.29 
 
 
 
3.30 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-19 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.31 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-20 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.31b 
 
 
 
 
3.32 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-21 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.33 
 
 
 
 
 
3.34 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-22 
Probability, Statistics, and Random Processes for Electrical Engineering 
3.4 Conditional Probability Mass Function 
 
 
3.35 
 
 
 
 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-23 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.36 
 
 
 
 
 
 
3.37 
 
 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-24 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
 
3.38 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-25 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
 
3.39 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-26 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-27 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.40 
 
 
3.41 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-28 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
 
 
 
 
 
 
 
 
 
 
3.42 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-29 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
 
 
3.43 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-30 
Probability, Statistics, and Random Processes for Electrical Engineering 
3.5 Important Discrete Random Variables 
 
 
3.44 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-31 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.45 
 
 
3.46 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-32 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.47 
 
 
 
3.48 
 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-33 
Probability, Statistics, and Random Processes for Electrical Engineering 
.
 
3.49 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-34 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
 
 
 
 
 
 
 
3.50 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-35 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.51 
 
 
3.52 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-36 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.53 
 
3.54 
 
 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-37 
Probability, Statistics, and Random Processes for Electrical Engineering 
 3.55 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-38 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.56 
 
 
 
 
3.57 
 
 
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A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-39 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.58 
 
 
3.59 
 
 
 
3.60 
 
 
3.61 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-40 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.62 
 
 
 
 
 
3.63 
 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-41 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.64 
 
 
 
 
 
3.65 
 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-42 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
3.66 
 
 
3.67 
 
 
 
3.68 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-43 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.69 
 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-44 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.70 
 
 
 
3.71 
 
 
 
3.72 
 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-45 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.73 
 
 
 
3.74 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-46 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.75 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-47 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.76 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-48 
Probability, Statistics, and Random Processes for Electrical Engineering 
 
 
3.77 
© 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is is protected by Copyright and written permission
 should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission
 in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: 
Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
A. Leon-Garcia INSTRUCTOR’S SOLUTIONS MANUAL 3-49 
Probability, Statistics, and Random Processes for Electrical Engineering 
3.6 Generation of Discrete Random Variables 
 The following Octave commands will give the requested plots: 
 
 
 
x = [0:1:10]; 
lambda = 0.5; 
figure; 
plot(x, poisson_pdf(x, lambda)); 
figure; 
plot(x, poisson_cdf(x, lambda)); 
figure; 
plot(x, 1-poisson_cdf(x, lambda)); 
 
x = [0:1:20]; 
lambda = 5; 
figure; 
plot(x, poisson_pdf(x, lambda)); 
figure; 
plot(x, poisson_cdf(x, lambda)); 
figure; 
plot(x, 1-poisson_cdf(x, lambda)); 
 
x = [0:1:100]; 
lambda = 50; 
figure; 
plot(x, poisson_pdf(x, lambda)); 
figure; 
plot(x, poisson_cdf(x, lambda)); 
figure;