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Lecturenotes3 - STAT 430/510 Lecture 3 STAT 430/510...

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Unformatted text preview: STAT 430/510 Lecture 3 STAT 430/510 Probability Hui Nie Lecture 3 May 28th, 2009 STAT 430/510 Lecture 3 Review We have discussed counting techniques in Chapter 1. Introduce the concept of the probability of an event. Compute probabilities in certain situations. STAT 430/510 Lecture 3 Experiment A random experiment is a process whose outcome is uncertain. Example: Tossing a coin once or several times; Picking a card or cards from a deck; Measuring temperature of patients; STAT 430/510 Lecture 3 Events and Sample Spaces A sample spaces S of a random experiment is the set of all possible outcomes. An event E is any subset of the sample space S . Our objective is to determine P ( E ) , the probability that event E will occur. STAT 430/510 Lecture 3 Example The experiment: Toss a coin 3 times. Sample space S ={HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} Examples of event include A={HHH,HHT,HTH,THH}={at least two heads} B={HTT,THT,TTH}={exactly two tails} STAT 430/510 Lecture 3 Example An experiment in a hospital consists of recording the sex of each newborn infant until the birth of a male is observed....
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This note was uploaded on 06/28/2009 for the course STAT 430 taught by Professor Krieger during the Summer '08 term at UPenn.

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Lecturenotes3 - STAT 430/510 Lecture 3 STAT 430/510...

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