hw1-67-key - STA 3024 Section 7459 Homework 1 Form C UFID...

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STA 3024 Homework 1 Section 7459 Form C Name: UFID: This form is only for students whose UFID number begins with 6 or 7. 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 3( i + 4) 2 =447 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) 5! =120 (b) 9! 5! =3024 4. Find the following: (a) 6 4 =15 (b) 6 3 =20 (c) 8 5 =56 (d) What is another combination expression that has the same value as 9 6 ? 9 3 5. For each of the following values of p , find p 5 (1 - p ) 4 : (a) p = 0 . 5 =0.00195 (b) p = 0 . 3 =0.00058 (c) p = 0 . 7 =0.00136 1
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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: ( Hint : write out the sample space) (a) P ( A ) =0.015625= 1 64 (b) P ( B ) =0.50= 1 2 (c) P ( A C ) =0 (d) P ( A
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