Math1313-Section7.2-Blank

# Math1313-Section7.2-Blank - Section 7.2 Definition of...

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Section 7.2 Definition of Probability The ratio n m is the relative frequency of an event E that occurs m times after n repetitions. Note: The probability of an event is a number that lies between 0 and 1, inclusive. Example 1: A certain town has 5,690 people. A recent survey showed that 2,308 people wear eyeglasses regularly. What is the probability that a person chosen at random from this town does not wear eyeglasses regularly? If S={s , s ,…, s } is a finite sample space with n outcomes, then the events {s }, {s },…, {s } are called simple events of the experiment. 1 2 n 1 2 n Example 2: A fair die is cast. List the simple events. Once probabilities are assigned to each of these simple events, we obtain a probability distribution. The probabilities, P(s 1 ), P(s ),…, P(s ) have the following properties: 2 n 1. 0 < P(s i ) < 1, i {1, 2, …, n } 2. P(s 1 ) + P(s ) + … + P(s ) = 1 2 n 3. P(s s ) = P(s i ) + P(s ), i U i j j j and i, j {1, 2, …, n }. Example 3:

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Math1313-Section7.2-Blank - Section 7.2 Definition of...

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