A) Assume that 12 jurors are randomly selected from a populationin which 87% of the people are Mexican-Americans. Refer to theprobability distribution table below and find the indicatedprobabilities.
| xx | P(x)P(x) |
|---|
| 0 | 0+ |
| 1 | 0+ |
| 2 | 0+ |
| 3 | 0+ |
| 4 | 0+ |
| 5 | 0.0002 |
| 6 | 0.0019 |
| 7 | 0.0111 |
| 8 | 0.0464 |
| 9 | 0.138 |
| 10 | 0.2771 |
| 11 | 0.3372 |
| 12 | 0.188 |
Find the probability of exactly 5 Mexican-Americans among 12jurors.
P(x=5)=P(x=5)=
Find the probability of 5 or fewer Mexican-Americans among 12jurors.
P(x?5)=P(x?5)=
Does 5 Mexican-Americans among 12 jurors suggest that the selectionprocess discriminates against Mexican-Americans?
yes?
no?
B) A company prices its tornado insurance using the followingassumptions:
• In any calendar year, there can be at most one tornado.
• In any calendar year, the probability of a tornado is 0.12.
• The number of tornadoes in any calendar year is independent ofthe number of tornados in any other calendar year.
Using the company's assumptions, calculate the probability thatthere are fewer than 4 tornadoes in a 14-year period.
