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Lawrence N. Dworsky, PhD, is a former corporate research lab director at Motorola, Inc., where he was also a member of the Science Advisory Board. He has also served as a consultant to the Defense Advanced Research Projects Agency (DARPA), Littelfuse Corp., and HRL Laboratories, LLC. A Fellow of the Institute of Electrical and Electronic Engineers, Dr. Dworsky has held academic positions at Columbia University, Northern Illinois University, and Florida Atlantic University.
Preface | p. xi |
An Introduction to Probability | p. 1 |
Predicting the Future | p. 1 |
Rule Making | p. 3 |
Random Events and Probability | p. 5 |
The Lottery {Very Improbable Events and Large Data Sets} | p. 10 |
Coin Flipping {Fair Games, Looking Backwards for Insight} | p. 13 |
The Coin Flip Strategy that Can't Lose | p. 19 |
The Prize Behind the Door {Looking Backwards for Insight, Again} | p. 20 |
The Checkerboard {Dealing with Only Part of the Data Set} | p. 22 |
Probability Distribution Functions and Some Basics | p. 27 |
The Probability Distribution Function | p. 27 |
Averages and Weighted Averages | p. 32 |
Expected Values | p. 35 |
The Basic Coin Flip Game | p. 37 |
The Standard Deviation | p. 40 |
The Cumulative Distribution Function | p. 48 |
The Confidence Interval | p. 49 |
Final Points | p. 50 |
Building a Bell | p. 54 |
Random Walks | p. 67 |
The One-Dimensional Random Walk | p. 67 |
What Probability Really Means | p. 75 |
Diffusion | p. 77 |
Life Insurance and Social Security | p. 82 |
Insurance as Gambling | p. 83 |
Life Tables | p. 85 |
Birth Rates and Population Stability | p. 90 |
Life Tables, Again | p. 91 |
Premiums | p. 94 |
Social Security-Sooner or Later? | p. 98 |
Binomial Probabilities | p. 104 |
The Binomial Probability Formula | p. 105 |
Permutations and Combinations | p. 107 |
Large Number Approximations | p. 109 |
The Poisson Distribution | p. 112 |
Disease Clusters | p. 114 |
Clusters | p. 114 |
Pseudorandom Numbers and Monte Carlo Simulations | p. 117 |
Pseudorandom Numbers | p. 118 |
The Middle Square PSNG | p. 119 |
The Linear Congruential PSNG | p. 121 |
A Normal Distribution Generator | p. 122 |
An Arbitrary Distribution Generator | p. 124 |
Monte Carlo Simulations | p. 126 |
A League of Our Own | p. 132 |
Some Gambling Games in Detail | p. 136 |
The Basic Coin Flip Game | p. 136 |
The Gantt Chart | p. 142 |
The "Ultimate Winning Strategy" | p. 144 |
The Game Show | p. 150 |
Parimutuel Betting | p. 154 |
Traffic Lights and Traffic | p. 158 |
Outsmarting a Traffic Light? | p. 159 |
Many Lights and Many Cars | p. 164 |
Simulating Traffic Flow | p. 164 |
Simulation Results | p. 167 |
Combined and Conditional Probabilities | p. 178 |
Functional Notation | p. 178 |
Conditional Probability | p. 183 |
Medical Test Results | p. 186 |
The Shared Birthday Problem | p. 189 |
Scheduling and Waiting | p. 192 |
Scheduling Appointments in the Doctor's Office | p. 193 |
Lunch with a Friend | p. 199 |
Waiting for a Bus | p. 204 |
Stock Market Portfolios | p. 208 |
Benford, Parrondo, and Simpson | p. 215 |
Benford's Law | p. 215 |
Parrondo's Paradox | p. 221 |
Simpson's Paradox | p. 228 |
Networks, Infectious Disease Propagation, and Chain Letters | p. 234 |
Degrees of Separation | p. 235 |
Propagation Along the Networks | p. 238 |
Some Other Uses of Networks | p. 242 |
Neighborhood Chains | p. 249 |
Bird Counting | p. 253 |
A Walk in the Woods | p. 253 |
A Model of Bird Flying Habits | p. 254 |
Spotting a Bird | p. 259 |
Putting It All Together | p. 261 |
Statistical Mechanics and Heat | p. 267 |
Statistical Mechanics | p. 268 |
Thermodynamics | p. 276 |
Introduction to Statistical Analysis | p. 280 |
Sampling | p. 281 |
Sample Distributions and Standard Deviations | p. 283 |
Estimating Population Average from a Sample | p. 285 |
The Student T Distribution | p. 288 |
Polling Statistics | p. 290 |
Did a Sample Come from a Given Population? | p. 291 |
Chaos and Quanta | p. 293 |
Chaos | p. 293 |
Probability in Quantum Mechanics | p. 301 |
Index | p. 307 |
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