### 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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Assume that 12 jurors are randomly selected from a population in which 86% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. � �(�) 0 0+ 1 0+ 2 0+ 3 0+ 4 0+ 5 0.0004 6 0.0028 7 0.0148 8 0.0569 9 0.1553 10 0.2863 11 0.3197 12 0.1637 Find the probability of exactly 5 Mexican-Americans among 12 jurors.�(�=5)= Find the probability of 5 or fewer Mexican-Americans among 12 jurors.�(�≤5)= Does the occurrence of 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?
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The table below shows the results of a survey that asked 2853 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d). Occasionally Frequently 223 Not at all Total Male 453 793 1469 Female 205 430 749 1384 Total 428 883 1542 2853 (a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved) = 0.460 (Round to the nearest thousandth as needed.) (b) Find the probability that the person is female or not involved in charity work at all. P(being female or not being involved) = (Round to the nearest thousandth as needed.)

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