hw1-1238-key

# hw1-1238-key - STA 3024 Homework 1 Section 7459 Form A Name...

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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 all-white 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 8-sided 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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hw1-1238-key - STA 3024 Homework 1 Section 7459 Form A Name...

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