### Probability and Statistics ProblemA company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected.#### Tasks:(a) **Use technology to find the number of ways 15 employees can be chosen from 200.** - Answer: There are $\_\_\_\_$ ways to choose 15 employees from 200 employees. *(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.)*(b) **Use technology to find the number of ways 15 employees can be chosen from 144 nonminorities.**- Answer: There are $\_\_\_\_$ ways to choose 15 employees from 144 nonminorities. *(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.)*(c) **What is the probability that the committee contains no minorities when the committee is chosen randomly (without bias)?**- Answer: The probability is $\_\_\_\_$ *(Do not round until the final answer. Then round to three decimal places as needed.)*(d) **Does your answer to (c) indicate that the committee selection is biased? Explain your reasoning.**- Answer: $\_\_\_\_$ the committee selection is most likely $\_\_\_\_$ because the probability that was found in part (c) is $\_\_\_\_$.**Note:** Enter your answer in each of the answer boxes.This problem allows students to explore combinations and probabilities using real-world scenarios. Understanding these concepts helps in analyzing and assessing fairness in selection processes.

Name: ### Probability and Statistics ProblemA company that has 200 employee
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Description: ### Probability and Statistics ProblemA company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected.#### Tasks:(a) **Use technology to

(a) The number of combinations of r items selected from n items is, nr=n!n-r!r! A company has 200 employees chooses a committee of 15 to represent employee retirement issues. The number of ways 15 employees can be choose from 200 can be obtained using the excel formula "=COMBIN(200,15)". The combinations are 1.46E+22. Thus, there are 1.46E+22 ways to choose 15 employees from 200 employees.(b) The number of ways 15 employees can be choose from 144 nonminority's can be obtained using the excel formula "=COMBIN(144,15)". The combinations are 8.53E+19. Thus, there are 8.53E+19 ways to choose 15 employees from 144 nonminority's. (c) The probability that the committee contains no minorities when the committee is chosen randomly is, Pno minorities=Number of ways 15 employees can be choose from 200Number of ways 15 employees can be choose from 144 nonminority's=8.53E+191.46E+22=0.006 Thus, the probability that the committee contains no minorities when the committee is chosen randomly is 0.006. (d) The probability obtained in part (c) is very small. That is, the probability value is less than 0.05 indicating that it would be very unlikely for that event to happen. Since the probability value is very small, this type of selection would be very rare to be happened by chance. Thus, the committee selection is biased. Yes, the committee selection is more likely to be biased because the probability that was found in part (c) is very small.

Math

Statistics

A company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected. (a) Use technology to find the number of ways 15 employees can be chosen from 200. (b) Use technology to find the number of ways 15 employees can be chosen from 144 nonminorities. (c) What is the probability that the committee contains no minorities when the committee is chosen randomly (without bias)? (d) Does your answer to (c) indicate that the committee selection is biased? Explain your reasoning.

A company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected. (a) Use technology to find the number of ways 15 employees can be chosen from 200. (b) Use technology to find the number of ways 15 employees can be chosen from 144 nonminorities. (c) What is the probability that the committee contains no minorities when the committee is chosen randomly (without bias)? (d) Does your answer to (c) indicate that the committee selection is biased? Explain your reasoning.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

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.

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### Probability and Statistics Problem

A company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected.

#### Tasks:
(a) **Use technology to find the number of ways 15 employees can be chosen from 200.**
- Answer: There are $\_\_\_\_$ ways to choose 15 employees from 200 employees.
*(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.)*

(b) **Use technology to find the number of ways 15 employees can be chosen from 144 nonminorities.**
- Answer: There are $\_\_\_\_$ ways to choose 15 employees from 144 nonminorities.
*(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.)*

(c) **What is the probability that the committee contains no minorities when the committee is chosen randomly (without bias)?**
- Answer: The probability is $\_\_\_\_$
*(Do not round until the final answer. Then round to three decimal places as needed.)*

(d) **Does your answer to (c) indicate that the committee selection is biased? Explain your reasoning.**
- Answer: $\_\_\_\_$ the committee selection is most likely $\_\_\_\_$ because the probability that was found in part (c) is $\_\_\_\_$.

**Note:** Enter your answer in each of the answer boxes.

This problem allows students to explore combinations and probabilities using real-world scenarios. Understanding these concepts helps in analyzing and assessing fairness in selection processes.

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