William M. Briggs's Breaking the Law of Averages: Real-Life Probability and PDF

By William M. Briggs

ISBN-10: 0557019907

ISBN-13: 9780557019908

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3. Being choosy It’s the day before Thanksgiving and you are at school, packing your car for the drive home. You would have left a day earlier, but you didn’t want to miss your favorite class—statistics. It turns out that you have three friends who you know need a ride: Larry, Curly, and Moe. Lately, they have been acting like a bunch of stooges, so you decide to tell them that your car is just too full to bring them along. The question is, how many different ways can you arrange your friends to drive home with you when you plan to bring none of them?

24. Since we already know the probability of taking one of those combinations, we just multiply it by the number of times we see it. 24. 001. 0 5. HOMEWORK 31 where you must remember that a0 = 1 (for any a you will come across, even a = 0). You see the pattern by now. This means we have another formula to add to our collection. This one is called the binomial and it looks like this: n k (14) Pr(k|n, p, EB ) = p (1 − p)n−k . k There is a subtle shift in notation with this formula, made to conform with tradition.

0 5. HOMEWORK 31 where you must remember that a0 = 1 (for any a you will come across, even a = 0). You see the pattern by now. This means we have another formula to add to our collection. This one is called the binomial and it looks like this: n k (14) Pr(k|n, p, EB ) = p (1 − p)n−k . k There is a subtle shift in notation with this formula, made to conform with tradition. ” For general situations, k is the number of “successes”: or, K = “The number of successes is k”. Everything to the right of the “|” is still information that we know.

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Breaking the Law of Averages: Real-Life Probability and Statistics in Plain English by William M. Briggs


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