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Unformatted text preview: Chapter 4 Section 2: The Binomial Distribution Terminology n ! = n ( n- 1) ( n- 2) 1 ( n factorial) ( n x ) = n ! x ! ( n- x )! ( n choose x ) e.g.) a) 5! b) ( 5 3 ) Note: 0! = 1, 1! = 1 Conditions on a Binomial Experiment Experiment consists of n identical trials There are only two possible outcomes on each trial: Success/Failure Probability of a success ( p ) is the same for each trial Trials are independent of each other. If these conditions are true and X =the number of success, then X follows a Binomial Distribution with parameters n and p : X Bin ( n,p ) 1 Ex. Determine if the following scenarios are examples of Binomial Experiments. 1. A coin is flipped 10 times and the number of head is observed 2. Ask 100 randomly selected students if the drank (or drink) when they were (are) underage. Make sure that the questioning is handled in a way that the respondents answer would be confidential. Count the number of students who answer yes to the question.students who answer yes to the question....
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