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Unformatted text preview: STA 3024 Homework 1 Section 7459 Form A Name: UFID: This form is only for students whose UFID number begins with 1, 2, 3, or 8. Answer all problems neatly on separate sheets of paper. All pages must be stapled . Work that isn’t neat or stapled may lose points. 32 points + 12 points for completion = 44 points total Basic Math Review 1. Compute the following: (a) ∑ 6 i =1 i 2 =91 (b) ∑ 4 i =2 4( i + 3) 2 =440 2. 4 points 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. 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 =59.96 3. 2 points Find the following: (a) 4! =24 (b) 10! 5! =30240 4. Find the following: (a) 5 2 =10 (b) 5 3 =10 (c) 8 6 =28 (d) What is another combination expression that has the same value as 11 6 ? 11 5 5. For each of the following values of p , find p 6 (1 p ) 3 : (a) p = 0 . 5 =0.00195 (b) p = 0 . 3 =0.00025 (c) p = 0 . 7 =0.00318 1 Probability Review 6. 4 points (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 jurors are white when the population is (a) 90% white =0.28=9 12 (b) 50% white =0.00024= . 5 12 7. Define the following events relating to rolling two 8sided dice: A Both dice are a 1 B One die is even and one die is odd C At least one die shows an 8 Find the following probabilities: (...
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 Spring '08
 TA
 Randomness, Simple random sample, unfavorable opinion, true average income, Rep. Bachmann

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