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post7 - STAT 511-2 Spring 2012 Lecture 7 Jun Xie Finish the...

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1 STAT 511-2 Spring 2012 Lecture 7 Jan 25, 2012 Jun Xie Finish the formulas of permutation and combination, and the examples in the last post. 2.3 Counting Techniques A little more complicated counting problem Example 22 A particular iPod playlist contains 100 songs, 10 of which are by the Beatles. Suppose the shuffle feature is used to play the songs in random order. What is the probability that the first Beatles song heard is the fifth song played? Example 23 A university warehouse has received a shipment of 25 printers, of which 10 are laser printers and 15 are inkjet models. If 6 of these 25 are selected at random to be checked by a particular technician, what is the probability that exactly 3 of these selected are laser printers (so that the other 3 are inkjets)? This is hypergeometric distribution that we’ll talk about more in Chapter 3. The hypergeometric distribution can be derived by our counting techniques. 2.4 Conditional probability P ( A ) as the original, or unconditional probability, of the event A .
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