s134hw1 - just the right level of detail for the Frst card....

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Stat 134, Spring 2010 A. Adhikari HOMEWORK 1 (due Th 1/28) 1. 1.1.8. The sum in part (e) now has n terms, not 6. Exercise 1.1.7 will obviously help, as will examples from lecture and the text. 2. 1.3.6. In each part also draw a histogram of the distribution, like the one on Page 25. 3. 1.3.10. You may use (without proof) the result of 1.3.11 if you Fnd it helpful. And it always helps to draw careful Venn diagrams and shade the region required. There are 7 probabilities named in the statement of the problem; only those 7 may appear in your answers, along with math operations and numbers. E.g. P ( A c ) can’t appear in your answer. It has to be 1 - P ( A ). 4. 1.4.6. You can do this one by combinatorics (count the number of permutations that have a black card in the Frst spot, etc). Another way is to draw a tree diagram that shows
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Unformatted text preview: just the right level of detail for the Frst card. After you think youve got the answer, check that its close to 1/4. If you cant Fgure out why it should be close to 1/4 you should put your pencil away and simply think about what the problem is asking. 5. 1.4.10. 6. 1.Rev.10. In the second part two of the terms are straightforward (why?); and if you can Fnd three of the terms then the fourth is easy (why?); so theres really only one term that requires some care. It may help you to compare the following two events: all four people are of Type A or Type B exactly two types appear, and those are A and B. If these two events are not the same, then what is the dierence between them? Answering that may save you a lot of calculation....
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