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?

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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 the 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 | Probability, P(x) |
|--------------------------------|-------------------|
| 0                              |                   |
| 1                              |                   |
| 2                              |                   |
| 3                              |                   |
| 4                              |                   |
| 5                              |                   |
| 6                              |                   |
| 7                              |                   |
| 8                              |                   |
| 9                              |                   |
| 10                             |                   |
| 11                             |                   |
| 12                             |                   |
| Total                          |                   |

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 the 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 | Probability, P(x) | |--------------------------------|-------------------| | 0 | | | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | | 6 | | | 7 | | | 8 | | | 9 | | | 10 | | | 11 | | | 12 | | | Total | | 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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