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. P(x=5)=P(x=5)= Find the probability of 5 or fewer Mexican-Americans among 12 jurors. P(x≤5)=P(x≤5)= Assume that any probability less than 5% is convincing enough evidence to suspect discrimination. Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? yes no
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Assume that 12 jurors are randomly selected from a population in which 76% of the people are Mexican-Americans. Refer to the
| 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.
P(x=5)=P(x=5)=
Find the probability of 5 or fewer Mexican-Americans among 12 jurors.
P(x≤5)=P(x≤5)=
Assume that any probability less than 5% is convincing enough evidence to suspect discrimination. Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?
- yes
- no
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