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Lecture14_Chapter3

# 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: The experiment consists of a sequence of n smaller experiment called trials, where n is fixed in advance of the experiment Each trial can result in one of the same two possible outcomes – success or failure. The trials are independent, so that the outcome on any particular trial does not influence the outcome on any other trial The probability of success is constant from trial to trial.
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 : 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
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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Binomial Distribution

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Lecture14_Chapter3 - Lecture 14 Chapter 3 Monday October...

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