Statistics – Probability

Determining Whether a Jury Selection Process Is Biased
Assume that 12 jurors are randomly selected from a population in which 80% of
the people are Mexican-Americans. Refer to Table 5-1 and find the indicated
probability.

a. Using the probability values in Table 5.1, find the
probability value that should be used for determining whether the result of 11
Mexican-Americans among 12 jurors is usually high.

b. Does the selection of 11 Mexican-American jurors
suggested that the selection process favors Mexican-Americans? Why or why not?

Table 5-1

Probability Distribution: Probabilities of Numbers of
Mexican-Americans on a Jury of 12, Assuming That Jurors are Randomly Selected
from a Population in Which 80% of the Eligible People are Mexican-Americans.

x (Mexican-Americans) P(x)

0 0+

1 0+

2 0+

3 0+

4 0.001

5 0.003

6 0.016

7 0.053

8 0.133

9 0.236

10 0.283

11 0.206

12 0.069

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