A company that has 150 employees chooses a committee of 11 to represent employeeretirement issues. When the committee is formed, none of the 56 minority employees areselected.(a) Use technology to find the number of ways 11 employees can be chosen from 150.(b) Use technology to find the number of ways 11 employees can be chosen from 94nonminorities.(c) What is the probability that the committee contains no minorities when the committee ischosen randomly (without bias)?(d) Does your answer to (c) indicate that the committee selection is biased? Explain yourreasoning.(a) There are 1.49 x 1016ways to choose 11 employees from 150 employees.(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol inthe math palette as needed.)13(b) There are 6.90x 10ways to choose 11 employees from 94 nonminorities.(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol inthe math palette as needed.)(c) The probability is 0.005.(Do not round until the final answer. Then round to three decimal places as needed.)(d) Yes, the committee selection is most likely biased,because the probability that wasfound in part (c) is small.

Name: A company that has 150 employees chooses a committee of 11 to represe
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: A company that has 150 employees chooses a committee of 11 to represent employeeretirement issues. When the committee is formed, none of the 56 minority employees areselected.(a) Use technology to find the number of ways 11 employees can be chosen f

Math

Statistics

A company that has 150 employees chooses a committee of 11 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 11 employees can be chosen from 150. (b) Use technology to find the number of ways 11 employees can be chosen from 94 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) There are 1.49×101° ways to choose 11 employees from 150 employees. (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) 13 (b) There are 6.90× 10 ways to choose 11 employees from 94 nonminorities. (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) (c) The probability is 0.005 (Do not round until the final answer. Then round to three decimal places as needed.) (d) Yes, the committee selection is most likely biased, because the probability that was found in part (c) is small.

A company that has 150 employees chooses a committee of 11 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 11 employees can be chosen from 150. (b) Use technology to find the number of ways 11 employees can be chosen from 94 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) There are 1.49×101° ways to choose 11 employees from 150 employees. (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) 13 (b) There are 6.90× 10 ways to choose 11 employees from 94 nonminorities. (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) (c) The probability is 0.005 (Do not round until the final answer. Then round to three decimal places as needed.) (d) Yes, the committee selection is most likely biased, because the probability that was found in part (c) is small.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A tourist in France wants probability that she will vi

A: We have given a tourist in France wants to visit 7 different cities We have to find the probability…

Q: A very large pool consists of 26% Democrats, 33% Republicans, and the rest independents. What is the…

A: X~ Binomial (n , p) p = 1 -.26-.33 = 0.41 ____________________________

Q: Forty percent of Clinton County residents are uncomfortable using the Internet. Suppose 7 such…

A: Given that n =7 , p= 0.40 Find P ( X =5 ) = ?

Q: A warehouse employs 27 workers on first shift, 18 workers on second shift, and 14 workers on third…

A: Given :Warehouse Employees :On shift 1st : 27On shift 2nd : 18On shift 3rd : 14No. of workers…

Q: In the Lotsa Millions Lottery, players pick 7 numbers from between 1 and 37. The order of the…

A: In the Lotsa Millions Lottery, players pick 7 numbers from between 1 and 37.

Q: Franky, Gary and Henry respectively and their corresponding probability of misstating figures are…

Q: There are 32 applicants for a job in a finance consultancy and auditing firm for 20 vacant posts. Of…

A: Given that Total applicants = 32 Vacant posts = 20 Women = 10 Men = 22

Q: Historically 20 % of workers participate in a retirement plan. A group of 5 workers is randomly…

A: Given data, 20 % of workers participate in a retirement plan. p=20% =0.20 A group of 5 workers is…

Q: A warehouse employs 22 workers on first shift, 19 workers on second shift, and 13 workers on third…

A: To determine the total combination of workers to be selected for the interview, calculate the total…

Q: A company has 12 salespeople and 18 engineers. If a committee of 4 is randomly selected, what is the…

A: given data, 12- salespeople18- engineers30- total persona commitee of 4 is randomly…

Q: Plantations Foods has 843 employees. A total of 255 employees have a college degree and 588 do not…

A: It is given that the total employees are 843. The number of employees have college degree is 255 and…

Q: In a small private school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: Consider a political discussion group consisting of 7 Democrats, 5 Republicans, and 2 Independents.…

A: The objective of this question is to find the probability of selecting 3 Democrats and 1 Republican…

Q: A jury pool consists of 32 people, 15 people aged 45-60 and 17 people aged 25-44. Compute the…

A: A jury pool consists of 32 people, 15 people aged 45-60 and 17 people aged 25-44. The number of ways…

Q: A committee has fourteen members. There are three members that currently serve as the board's…

A: It is given that that the committee of 14 members, three already serving as the board 's chairman,…

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: A jury pool consists of 31 people, 15 men and 16 women. Compute the probability that a randomly…

Q: Consider a political discussion group consisting of 5 Democrats, 5 Republicans, and 5…

A: A political discussion group consisting 15 members out of which 5 are Democrats, 5 are Republicans,…

Q: A warehouse employs 22 workers on first shift, 15 workers on second shift, and 14 workers on third…

A: Given data: 22 workers on first shift, 15 workers on second shift, 14 workers on third shift.…

Q: An accounting firm has 80 accountants. Of these, 40 deal with tax accounting, 25 deal with cost…

Q: 4. In a college, there are 150 students taking courses in Mathematics, Physics and Economics. Among…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: A jury pool consists of 25 people, 12 men and 13 women. Compute the probability that a randomly…

A: A jury pool consists of 25 people Number of men = 12 Number of women = 13

Q: A jury pool consists of 29 people, 12 men and 17 women. Compute the probability that a randomly…

A: It is given that a jury pool consists of 29 people in which 12 are men and 17 are women.

Q: The access code for a ATM bank card consists of 4 digits. The first digit cannot be 0 or 1, and the…

A: There are totally 10 digits, the first digit cannot be 0 or 1 means there are 8 choices, since…

Q: 2. A committee will be formed with 4 managers and 4 engineers selected randomly without replacement…

A: The provided information is as follows:The total number of managers is 11.The total number of…

Q: A class consist of 28 meals and 52 females. If the professor selects names from the class list using…

Q: he Atlanta Metropolitan Corporation must appoint a president, chief executive officer (CEO), chief…

A: Given that, The total number of qualified candidates is 17.

Q: Consider a political discussion group consiting of 5 democrats, 8 republicans, and 6 independents.…

A: From the provided information, Total democrats = 5 Total republicans = 8 Total independent = 6 Total…

Q: If a classroom of 32 students has 7 males (5 of who are single and 2 who are married) and 25 females…

A: Given,no.of single males=5no.of married males=2no.of single females=7no.of married females=18total…

Q: A corporation must appoint a president , ceo, coo and CFO . It must appoint a planning committee…

A: Given : A corporation appoint a president , ceo, coo and CFO and a planning committee with four…

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.

Topic Video

Question

A company that has 150 employees chooses a committee of 11 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 11 employees can be chosen from 150.
(b) Use technology to find the number of ways 11 employees can be chosen from 94
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) There are 1.49 x 10
16
ways to choose 11 employees from 150 employees.
(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in
the math palette as needed.)
13
(b) There are 6.90x 10
ways to choose 11 employees from 94 nonminorities.
(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in
the math palette as needed.)
(c) The probability is 0.005.
(Do not round until the final answer. Then round to three decimal places as needed.)
(d) Yes, the committee selection is most likely biased,
because the probability that was
found in part (c) is small.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is the event of selecting an American for the first person and the event of selecting an American for the second event person?
Given a bag of 10 marbles, 4 of them are white, 2 are black, and 4 are stripe. What is the probability of pulling a black marble, then a white marble, when sampling without replacement (i.e., you do not put the 1st marble back into the bag)?
consider a political discussion group of 6 democrats, 5 republicans, and 3 independents. If two group members are randomly chosen, in succession, to attend a convention. What is the probability of selecting an independent and then a democrat?
Consider a political discussion group consisting of 4 Democrats, 9 Republicans, and 6 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Democrats.
A survey was given to 357 people asking whether people like dogs and/or cats. 172 said they like dogs 169 said they like cats 86 sald they don't like cats or dogs. How many said they liked both cats and dogs? people liked both cats and dogs.
A group of four workers is needed to participate in a workplace joint health and safety committee. The following volunteers are available: 3 from the human resources department, 2 from accounting and finance, 4 from marketing, and 3 from manufacturing. What is the probability of selecting no volunteers from accounting and finance?
A very large pool consists of 23% Democrats, 35% Republicans, and the rest independents. What is the probability that none are independents if 10 are selected at random?