Question

A) Assume that 12 jurors are randomly selected from a population in which 87% 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+
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 12 jurors.
P(x=5)=P(x=5)=

Find the probability of 5 or fewer Mexican-Americans among 12 jurors.
P(x≤5)=P(x≤5)=

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

yes?

no?

B) A company prices its tornado insurance using the following assumptions:
• 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 of the number of tornados in any other calendar year.
Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 14-year period.

Answer 1