A random variable X has a mean of 120 and a standard deviation of 15. A random variable Y has a mean of 100 and a standard deviation of 9. If X and Y are independent, approximately what is the standard deviation of X - Y

Answers

Answer 1

The standard deviation of x - y is 12

X and Y are independent random variables

For random variable X, mean =120 and standard deviation =15

For random variable Y, mean =100 and standard deviation = 9

Let D be the difference of standard deviation of X and Y.

Variance can be defined as the square of standard deviation.

Hence, Variance of X = (standard deviation of X)2 = (15)2 = 225

And, variance of Y = (standard deviation of Y)2 = (9)2 = 81

SD(X - Y) = sqrt(SD(X)2 - SD(Y)2)

Hence, D = sqrt(225 - 81) = sqrt(14) = 12

Hence, the standard deviation of x - y is 12

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Related Questions

Lights, Camera, and More sells filmmaking equipment. The company offers three purchase options: (1) pay full cash today, (2) pay one-half down and the remaining one-half plus 10% in one year, or (3) pay nothing down and the full amount plus 15% in one year. George is considering buying equipment from Lights, Camera, and More for $60,000 and therefore has the following payment options: Payment Today Payment in One Year Total Payment Option 1 $60,000 $ 0 $60,000 Option 2 30,000 33,000 63,000 Option 3 0 69,000 69,000 Required: 1-a. Assuming an annual discount rate of 12%, calculate the present value and the total cost. 1-b. Which option's cost has the lowest present value?

Answers

Answer:

1-a. The present value for each payment option is:

Option 1: PV = $60,000 / (1 + 0.12)¹ = $53,571.43

Option 2: PV = [$30,000 / (1 + 0.12)¹] + [($33,000 / (1 + 0.12)²] = $50,446.43

Option 3: PV = $69,000 / (1 + 0.12)² = $53,571.43

The total cost for each payment option is:

Option 1: $60,000

Option 2: $63,000

Option 3: $69,000

1-b. Based on the present value calculations, option 2 has the lowest present value of $50,446.43. Therefore, option 2 is the best choice for George if he wants to minimize his total cost while taking into account the time value of money.

Explanation:

Write a reflection of Chapter 12 - Political Parties.

Answers

Answer: need more material.

Explanation:

Policy Violations examples from your readings, might arise during your academic career. How does academic dishonesty undermine the purpose of graduate school?

Answers

Examples of policy violations that might arise during your academic career include plagiarism, cheating on exams, falsifying data, and unauthorized collaboration.

Academic dishonesty undermines the purpose of graduate school in several ways. First, it violates the fundamental principles of academic integrity, which are essential to the credibility and legitimacy of the academic community. Second, it undermines the value of the degree by creating an uneven playing field where some students succeed through dishonest means. Third, it hinders the development of critical thinking, problem-solving, and research skills, which are essential to success in graduate school and beyond. Finally, it can damage your reputation and credibility, which can have long-term consequences for your career and professional development.

Failure to meet academic requirements: This could involve not meeting the minimum grade requirements for coursework, failing to complete required assignments or exams, or not maintaining the required GPA for the program.

Academic misconduct: This includes any behavior that violates the academic integrity policies of the institution, such as plagiarism, cheating, fabrication, or falsification.

Inappropriate conduct: This could involve behavior that disrupts the learning environment, such as engaging in harassment, discrimination, or other forms of inappropriate conduct.

Noncompliance with institutional policies: This could include failing to comply with policies related to research, use of institutional resources, or other policies established by the institution.

Violation of ethical standards: This could include behavior that violates the ethical standards established by the academic program or the profession, such as failing to disclose conflicts of interest or engaging in behavior that undermines the integrity of the research process.

It is important for graduate students to be aware of the policies and regulations established by their institution and to adhere to these standards to maintain their academic integrity and to avoid any negative consequences that could arise from violating these policies.

Cheating: This is when a student copies another student's work or uses unauthorized materials on an exam or assignment.

Plagiarism: This is when a student presents someone else's work as their own without giving credit.

Fabrication: This is when a student makes up information or data.

Tampering: This is when a student alters or destroys academic records or materials.

Collusion: This is when two or more students work together on an assignment or exam that is supposed to be completed individually.

Can mess up reputation of student & school

chatgpt

bardai

A high school principal decides to conduct a survey of the senior class by selecting one government class and interviewing each student in that class. Why does this method suffer from bias?

Answers

The method of surveying only one government class to interview each student in that class suffers from bias because it is not a representative sample of the entire senior class. The results of the survey will only reflect the opinions and experiences of the students in that particular government class, and may not be generalizable to the entire senior class. Additionally, there may be differences in the characteristics or experiences of students in different government classes that could influence their responses to the survey questions. To obtain a more representative sample of the senior class, the principal should consider using a random sampling method that includes students from multiple classes and backgrounds.
This method suffers from bias because only one government class is selected and only the students in that class are interviewed. The sample may not be representative of the entire senior class, as there may be differences in the characteristics of students in different government classes. For example, a government class that is predominantly composed of students who are interested in politics may have different opinions from a government class that is predominantly composed of students who are not interested in politics. Additionally, students who are absent on the day of the survey will not be included in the sample, which could introduce selection bias.

The second stanza (lines 5-8) primarily reveals the

Answers

The second stanza (lines 5-8) primarily reveals the current connection between the speaker and the loved one.

What is the goal of the second stanza?

The goal of the second stanza of the poem, Remembrance is to state the connection that the speaker had with his loved one.

The poet goes back in time to reflect on some events that transpired between him and his friend and e also recalls how these events depict the connection that he and his loved one share presently.

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As the Operations Manager at company, you must decide which product design, A or B,

has the higher reliability. B is designed with backup units for components R3 and R4 .

Determine the reliability of each design shown below?


product A

r1 r2 r3 r4

0.99--0.95--0.998--0.995-->


product b

r1 r2 r3 r4

0.99--0.95--0.985---0.99-->

----------------- l----------l
------------------0.95-----0.99

Answers

Answer:

To calculate the overall reliability of each product design, we need to use the formula for parallel and series connections of components.

For Product A, the overall reliability is:

0.99 x 0.95 x 0.998 x 0.995 = 0.9367 or 93.67%

For Product B, we can see that R3 and R4 are in parallel with each other, so we need to calculate their combined reliability first:

R3&R4 = 1 - (1-0.985) x (1-0.99) = 0.99415

Then, we can calculate the overall reliability of Product B:

0.99 x 0.95 x 0.99415 = 0.9316 or 93.16%

Therefore, based on these calculations, Product A has a higher reliability than Product B.

Write an equation of the line passing through the point (-6, - 4 that is parallel to the line y = -x + 3.

An equation of the line is

Answers

Answer:

y = -x + b  => b = y + x <=> b = -6 -4 <=>b = -10

final parallel: y = -x -10

Explanation:

Write a reflection of Chapter 12 - Political Parties.

CHAPTER 12. POLITICAL PARTIES
Read Chapter 12 - Political Parties in the Keeping the Republic textbook. In this chapter we will learn about...

What political parties are and the role they play in a democracy
What parties in America stand for
The history of political parties in America
The central functions of parties: electioneering and governing
Characteristics of the American party system
The relationship of citizens to political parties
The role of parties in a democracy

Political linkage
Unification of a fragmented government
A voice for the opposition
Three components of political parties

Party organization
Party-in-government
Party-in-the-electorate
The responsible party model

Each party presents a coherent set of programs to voters, consistent with its ideology and clearly different from those of the other party.
The candidates for each party pledge to support their party’s platform and to implement their party’s programs if elected.
Voters make choices based on which party’s programs most closely reflect their own ideas and hold the parties responsible for unkept promises by voting members out of office.
While governing, each party exercises control over its elected officials to ensure that party officials are promoting and voting for its programs, thereby providing accountability to voters.
What do the parties stand for?

Party ideology
Party membership
Policy differences between the parties
The dilemma party candidates face

Most Republican primary voters are very conservative, whereas most Democratic primary voters are very liberal, meaning that candidates must run to the extremes to win the party’s nomination
But:

Many moderate voters turn out in the general election, so candidates should position themselves in the center of the ideological scale to win the general election
The history of parties in America

Andrew Jackson and the rise of party machines
Domination of party bosses in the cities
Democratization of political parties and the creation of the party primary
The history of party eras

Critical elections that lead to realignments
Five agreed-upon party eras
A sixth party era?
A sixth party era?

No single critical election
The demise of the New Deal coalition
Movement of southern whites to Republican Party
African Americans become overwhelming Democratic
Dealignment? Reduction in party identifiers into 1980s but increase in party identifiers since then
No real third-party movement for some time, but the Tea Party movement and October 2010 midterm elections show that third parties are not dead
What do parties do? Electioneering

Recruiting candidates
Nominating candidates
Open vs. closed primaries
Nominating convention
Defining policy agendas
General elections
What do parties do? Governing

Controlling government
Execution of policy agendas and accountability
Characteristics of the American party system

Two parties
Few serious political splits
Ability to change with the time
The rules of the game!!
Legal barriers faced by third parties
Third parties become more prevalent and powerful, like FreedomWorks and the Tea Party movement
Decentralized party organizations
National committees
Congressional campaign committees
State party committees
Local party organizations
Recent changes

U.S. parties are becoming more ideological,
Hyperpartisanship, polarization, and recent gridlock
The citizens and political parties

Three things citizens can do to offset their frustration with political parties:
Have realistic expectations
Get involved
Don’t split your ticket

Answers

Chapter 12 of the Keeping the Republic textbook covers the topic of political parties in America. The chapter describes the role of political parties in a democracy, their history, and the central functions of parties: electioneering and governing. It also discusses the characteristics of the American party system, the relationship of citizens to political parties, and the responsible party model. The chapter further outlines the parties' ideology, membership, policy differences, and the dilemma party candidates face. It also covers the history of parties in America, including the rise of party machines, democratization of political parties, and party eras.

The chapter details what parties do, including electioneering, which involves recruiting and nominating candidates, defining policy agendas, and holding general elections. It also discusses the role of parties in governing and controlling government, executing policy agendas, and accountability. The chapter highlights the characteristics of the American party system, including its two-party system, decentralized party organizations, and legal barriers faced by third parties. The chapter concludes by discussing recent changes in U.S. parties, including their increasing ideology, hyperpartisanship, and polarization, and offers advice to citizens on how to offset their frustration with political parties by having realistic expectations, getting involved, and not splitting their ticket.

Cl2000 week 2 Assignment Microsoft Word Document

Answers

Note that Microsoft Word has a lot of features. Some of them are given below.

What are some of those feature?

Microsoft Word is a widely-used word processing software that allows users to create, edit, and format documents. Some common features of Microsoft Word include:

A variety of formatting optionsSome tools that can be used inr creating and editing tables, charts, and graphsSpelling and grammar checkersPage layout and design options, including margins, page size, and orientationHeader and footer customizationCollaboration tools, such as track changes and commentsMail merge functionality for mass mailingsSupport for inserting multimedia elements, such as images and videosAutosave and backup options to prevent data loss.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

What are the common features of Microsoft Word?

A furniture company has demand for 70 units of assembled product Q in week 7. Each unit of Q
requires 1 unit of R and 2 units of S. Each unit of R requires 1 unit of T, 2 units of U, and 1 unit
of V. Finally, each unit of S requires 2 units of W and 3 units of X. One company manufactures
all items. It takes 1 weeks to make Q, 1 week to make R, 2 weeks to make S, 2 weeks to make T,
3 weeks to make U, 1 week to make V, 2 weeks to make W, and 1 week to make X.
a) Construct a product structure. Identify all level, parents, and components b) Prepare a time-phase product structure.

Answers

We have  [tex] R(x,y)=p(x,y)+q(x,y) [\tex] because is the weekly total revenue function. If [tex] R(x,y)=R(80,40) [\tex], then we have,

[tex] x=80 [\tex]:

[tex] y=40 [\tex]:

And also we have,

[tex] p=200 -\frac{1}{5}x -\frac{1}{10}y [\tex]

[tex] p=200 -\frac{80}{5} -\frac{40}{10} [\tex]

[tex] p=200 -16 -4 [\tex]

[tex] p=180 [\tex]

and,

[tex] q=160 -\frac{1}{10}x -\frac{1}{4}y [\tex]

[tex] q=160 -\frac{80}{10} -\frac{40}{4} [\tex]

[tex] q=160 -8 -10 [\tex]

[tex] q=142 [\tex]

Then [tex] R(80,40)=180+142=322 [\tex], that means that Country Workshops earns 322 dollars per month under those conditions.  

Analogously, If [tex] R(x,y)=R(60,100) [\tex] then [tex] p=178, q=129 [\tex], and [tex] R(60,100)=178+129=307 [\tex]. Country Workshops earns 307 dollars per month under those new conditions.

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To whom are most interest group campaign contributions given in Congress?

Answers

Answer:

hm

Explanation:

Interest group campaign contributions in Congress are often given to lawmakers who hold positions of power or influence over policies that are of interest to the interest groups. This includes members of committees that have jurisdiction over issues that the interest group is concerned about, as well as members of leadership and those who are in tight re-election races.

In general, interest groups tend to donate more money to incumbents who have a track record of supporting their interests, as they are more likely to be re-elected and able to influence policy outcomes. However, interest groups also give money to challengers in races where the incumbent is not supportive of their interests, in the hopes of influencing the outcome of the election.

Some interest groups may also give more to one political party over the other, depending on which party's policies align more closely with their interests.

It's worth noting that there are regulations on campaign contributions, including limits on how much individuals and interest groups can give to candidates and parties. However, there are also loopholes and ways to get around these limits, such as through the use of Super PACs and other outside spending groups.

Most interest group campaign contributions are given to incumbents in Congress because they are more likely to win reelection and have greater influence over policy decisions.

top 10 poems about love

Answers

Answer:

1. A Red, Red Rose. Author: Robert Burns

2. Sonnet 116. Author: William Shakespeare

3. Annabel Lee. Author: Edgar Allan Poe

4. Sonnet 29. Author: William Shakespeare

5. Cien Sonetos de Amor Author: Pablo Neruda

6. The Good-Morrow. Author: John Donne

7. Sonnet 18. Author: William Shakespeare

8. When You Are Old: Early Poems, Plays, and Fairy Tales. Author: William Butler Yeats

9. Love's Philosophy. Author: Percy Bysshe Shelley

10. Meeting At Night. Author: Robert Browning

Explanation:

It is not the top 10 peom about love but those are the ones i can find

Is your refrigerator running?

Answers

If our refrigerator uses 300 w of power when it's running, and it runs 8 hours a day than the yearly cost of operating at Rs.4.00 per kWh will be Rs. 3504.

Power of refrigerator =300W=0.3kW

Total operation hours 8×365=2920h

Work done or total electrical energy  (W)=0.3×2920=876kWh

Total cost of energy to operate =Rs.(876×4.00)=Rs.3504

1 kWh is equal to 3 600 000 joules.

Yearly cost of operating is the continued expenses incurred from the traditional daily of running a business. in operation prices embody each prices of products sold (COGS) and alternative in operation expenses—often referred to as marketing, general, and body (SG&A) expenses.

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The question is incomplete, find the complete question here

suppose your refrigerator uses 300 w of power when it's running, and it runs 8 hours a day. what is the yearly cost of operating your refrigerator at Rs.4.00 per kWh?

2: The pristine lake could be found high in the mountains, far away from the gritty metropolis.

A. pure
B. forgotten
C. mysterious
D. frozen

Answers

Answer:

A.) pure

The word "pristine" means in perfect condition, clean, and unspoiled. Therefore, in this context, the word "pristine" is used to describe the lake as being pure, untouched, and unspoiled, and free from pollution, dirt, or contamination. The other options, "forgotten," "mysterious," and "frozen," do not accurately describe the condition of the lake as portrayed in the sentence.

3: Sufficient most nearly means

A. superficial
B. lacking
C. adequate
D. striving

Answers

Answer:

C

Explanation:

The correct answer above the options is C (adequate)

Tge synonym for sufficient

4: Benefactor most nearly means

A. donor
B. dictator
C. father
D. professor

Answers

Answer: C
This answer is C because a benefactor is a person that gives money or to help a person or cause. And a parent can do both.
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