Question

Assume that 12 jurors are randomly selected from a population in which 76% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.

xx	P(x)P(x)
0	0+
1	0+
2	0+
3	0.0003
4	0.0018
5	0.0092
6	0.034
7	0.0924
8	0.1828
9	0.2573
10	0.2444
11	0.1407
12	0.0371

Find the probability of exactly 5 Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x=5)=P(x=5)=

Find the probability of 5 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x≤5)=P(x≤5)=

Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?

• no
• yes

Answer 1

probabilities.

xx	P(x)P(x)
0	0+
1	0+
2	0+
3	0.0003
4	0.0018
5	0.0092
6	0.034
7	0.0924
8	0.1828
9	0.2573
10	0.2444
11	0.1407
12	0.0371

Find the probability of exactly 5 Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x=5)

Using the table

P(x=5) = 0.0092

Find the probability of 5 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x≤5)

P(x≤5) = P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5)

P(x≤5) = 0 + 0 + 0 + 0.0003 + 0.0018 + 0.0092 = 0.0113

P(x≤5) = 0.0113

Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?

As there is only 1% chance of having a 5 Mexican-Americans among 12 jurors, hence there is some discrimination

Yes