3. At the time of the Avery case, there were 165,814 African-Americans in the Fulton County population of 691,797. Suppose that a 12-member jury is randomly selected from population of Fulton County. a. What is the probability that the first juror selected is African-American? Is it reasonable to use this same probability for each trial? Explain why or why not. b. Complete this probability distribution table for the number of African-Americans on a jury that really was randomly selected from the population of Fulton County. Number of African- Americans, x 0 1 2 3 4 5 6 7 8 9 10 11 12 Total Probability, Pix) c. What is the expected number of African-Americans who would be on a jury of 12 people selected at random from the population of Fulton County?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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3. At the time of the Avery case, there were 165,814 African-Americans in the Fulton County
population of 691,797. Suppose that a 12-member jury is randomly selected from population of
Fulton County.
a. What is the probability that the first juror selected is African-American? Is it reasonable
to use this same probability for each trial? Explain why or why not.
b. Complete this probability distribution table for the number of African-Americans on a
jury that really was randomly selected from the population of Fulton County.
Number of African-
Americans, x
0
1
2
3
4
5
6
7
8
9
10
11
12
Total
Probability, P(x)
c. What is the expected number of African-Americans who would be on a jury of 12 people
selected at random from the population of Fulton County?
Transcribed Image Text:3. At the time of the Avery case, there were 165,814 African-Americans in the Fulton County population of 691,797. Suppose that a 12-member jury is randomly selected from population of Fulton County. a. What is the probability that the first juror selected is African-American? Is it reasonable to use this same probability for each trial? Explain why or why not. b. Complete this probability distribution table for the number of African-Americans on a jury that really was randomly selected from the population of Fulton County. Number of African- Americans, x 0 1 2 3 4 5 6 7 8 9 10 11 12 Total Probability, P(x) c. What is the expected number of African-Americans who would be on a jury of 12 people selected at random from the population of Fulton County?
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