Lecture14_Chapter3 - Lecture 14 Chapter 3 Monday, October...

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Lecture 14 – Chapter 3 Monday, October 13 th
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Binomial experiment ± A binomial experiment is one that satisfies the four following requirements: ² The experiment consists of a sequence of n smaller experiment called trials, where n is fixed in advance of the experiment ² Each trial can result in one of the same two possible outcomes – success or failure. ² The trials are independent, so that the outcome on any particular trial does not influence the outcome on any other trial ² The probability of success is constant from trial to trial.
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Examples ± Toss a coin ± Roll a die and the S={1,2} and F={3,4,5,6} ± Birth of a child
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Problem ± Examples 3.37 and 3.38 page 126 ± So Rule of Thumb : ² If we sample without replacement from a large sample, we will consider that it is a binomial experiment if our sample size is less than 5% of the population of interest
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Binomial Random Variable ± When we have a binomial experiment consisting of n trials, the binomial random variable X associated with this experiment is defined as “ the number of successes among the n trials
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This note was uploaded on 09/23/2009 for the course STAT 318 taught by Professor Staff during the Fall '08 term at Pennsylvania State University, University Park.

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Lecture14_Chapter3 - Lecture 14 Chapter 3 Monday, October...

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