Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal. b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.
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 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.
| Number of Mexican-Americans | Probability |
|---|---|
| 0 | 0 |
| 1 | 0.0003 |
| 2 | 0.0025 |
| 3 | 0.0125 |
| 4 | 0.042 |
| 5 | 0.1009 |
| 6 | 0.1766 |
| 7 | 0.227 |
| 8 | 0.2128 |
| 9 | 0.1419 |
| 10 | 0.0639 |
| 11 | 0.0174 |
| 12 | 0.0022 |
a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal.
b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.
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