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Unformatted text preview: EE 178 Lecture Notes 0 Course Introduction • About EE178 • About Probability • Course Goals • Course Topics • Lecture Notes EE 178: Course Introduction Page 0 – 1 EE 178 • EE 178 provides an introduction to probabilistic system analysis: ◦ Basic probability theory ◦ Some statistics ◦ Examples from EE systems • Fulfills the EE undergraduate probability and statistics requirement (alternatives include Stat 116 and Math 151) • Very important background for EEs ◦ Signal processing ◦ Communication ◦ Communication networks ◦ Reliability of systems ◦ Noise in circuits EE 178: Course Introduction Page 0 – 2 • Also important in many other fields, including ◦ Computer science (Artificial intelligence) ◦ Economics ◦ Finance (stock market) ◦ Physics (statistical physics, quantum physics) ◦ Medicine (drug trials) • Knowledge of probability is almost as necessary as calculus and linear algebra EE 178: Course Introduction Page 0 – 3 Probability Theory • Probability provides mathematical models for random phenomena and experiments, such as: gambling, stock market, packet transmission in networks, electron emission, noise, statistical mechanics, etc. • Its origin lies in observations associated with games of chance: ◦ If an “unbiased” coin is tossed n times and heads come up n H times, the relative frequency of heads, n H /n , is likely to be very close to 1/2 ◦ If a card is drawn from a perfectly shuffled deck and then replaced, the deck is reshuffled, and the process is repeated n times, the relative frequency of spades is around 1 / 4 • The purpose of probability theory is to describe and predict such relative frequencies (averages) in terms of probabilities of events • But how is probability defined? EE 178: Course Introduction Page 0 – 4 • Classical definition of probability: This was the prevailing definition for many centuries....
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This note was uploaded on 09/29/2008 for the course EE 178 taught by Professor Hewlett during the Spring '08 term at Stanford.
 Spring '08
 Hewlett

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