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Unformatted text preview: STA 3024 Homework 1 Section 7459 Form B Name: UFID: This form is only for students whose UFID number begins with 0, 4, 5, or 9. Answer all problems neatly on separate sheets of paper. All pages must be stapled . Work that isn’t neat or stapled may lose points. Basic Math Review 1. Compute the following: (a) ∑ 6 i =1 i 2 (b) ∑ 5 i =3 4( i + 4) 2 2. For the following data compute ∑ i ∑ j ( y ij ¯ y i · ) 2 . Note that i refers to the group and j refers to the individual. [Note: A more explicit way of writing this problem is ∑ 4 i =1 ∑ n i j =1 ( y ij ¯ y i · ) 2 . Not specifying the top and bottom numbers is common mathematical shorthand for saying “sum over all the relevant i and j values”.] Individual Group 1 Group 2 Group 3 Group 4 1 28.9 28.4 35.1 32.5 2 31.0 30.9 31.4 38.1 3 27.6 29.9 39.3 36.6 4 30.8 30.8 35.8 3. Find the following: (a) 3! + 3! (b) 12! 8! 4. Find the following: (a) 7 2 (b) 7 5 (c) 8 6 (d) What is another combination expression that has the same value as 11 5 ? 5. For each of the following values of p , find p 7 (1 p ) 2 : (a) p = 0 . 5 (b) p = 0 . 3 (c) p = 0 . 7 1 Probability Review 6. (A&F 5.70) In arguing against the death penalty, Amnesty International has pointed out supposed inequities, such as the many times a black person has been given the death penalty by an allwhite jury. If jurors are selected randomly from an adult population, find the probability that all 12 jurorsjury....
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 Spring '08
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