Chapter 14 - Chapter 14 Read: From Randomness to...

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Chapter 14 From Randomness to Probability ActivStats: 14 Read: Chapter 14 Probability deals with modeling of random phenomena (phenomena or experiments whose outcomes may vary) Examples: 1. A toss of a coin 2. A roll of a die 3. A random selection of an individual from a population Intuitively probability of an event is a long-run relative frequency of the event in many independent repetitions of the experiment. Law of Large Numbers : ) ( # # A P s repetition of occured has A times of
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Model of a random phenomenon 1. The sample space S (or ) = the set of all possible outcomes 2. Events = subsets of the sample space Venn Diagram: If A is an event, the event that "A does not occur" is denoted A c and is called the complement of A Two events are called disjoint , if they cannot occur simultaneously Combined events: A and B, A or B A and B A or B A A B Union of A and B Union of A and B A C A
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4. Probability = a function that to each event A assigns a number P(A) (called the
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This note was uploaded on 07/25/2008 for the course STT 200 taught by Professor Dikong during the Summer '08 term at Michigan State University.

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Chapter 14 - Chapter 14 Read: From Randomness to...

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