### Probability Distribution and Jury SelectionAssume 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:| $ 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 |#### Problems to solve:1. **Find the probability of exactly 8 Mexican-Americans among 12 jurors. Round your answer to four decimal places.** \[ P(x = 8) = \_\_\_\_ \]2. **Find the probability of 8 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.** \[ P(x \leq 8) = \_\_\_\_ \]3. **Does 8 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?** - o no - o yes#### Explanation of the Probability Distribution Table:- The table lists the number of Mexican-Americans ($ x $) among the 12 jurors along with the corresponding probability ($ P(x) $) of that occurrence.- **"0+"** indicates that the probability is extremely small, approaching zero. Use this information to solve the problems by referring to the probabilities given in the table. You may need to sum specific probabilities to find cumulative probabilities as required by the questions.

xP(x)001020304050.000260.001970.011180.046490.138100.2771110.3372120.188

Answered: Assume that 12 jurors are randomly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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