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Lecture13_updated

# Lecture13_updated - Lecture13 1stJune2011 items....

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Lecture 13 1 st  June 2011

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Suppose that a shipment contains 5   defective items  and 10 non defective  items .If 7 items  are selected at random  without replacement , what is the  probability that at least 3 defective items  will be obtained?

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Binomial Distribution: Physical setup:  Suppose an experiment has  two  possible  outcomes, “success” and “failure”.  The P(Success)=p and hence, the  P(Failure)=1-p Repeat the experiment  n  independent  times.  Let X be the number of successes observed. Then we say X has a Binomial distribution.

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For example: A coin is tossed 12 times, let X be the  number of heads obtained. Then:

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Example:

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Binomial vs. Hypergeometric distribution: Similarities 1.Both have 2 types of outcomes, success  and failure. 2.The experiment is repeated  n  times in  each  3.X records the number of successes

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Differences:

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Lecture13_updated - Lecture13 1stJune2011 items....

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