Assume X and Y are indepndent. Assume that X has mean 10 and standard deviation 8. Assume Y has mean 12 and standard deviation 6. What is the standard deviation of the variable Z = X + Y. a. 8 b. 6 c. 10 d. 12

Answers

Answer 1

Answer:

[tex]\sigma_z = 10[/tex]

Explanation:

Given

[tex]\bar x = 10[/tex]

[tex]\sigma_x = 8[/tex]

[tex]\bar y = 12[/tex]

[tex]\sigma_y = 6[/tex]

[tex]z = x + y[/tex]

Required

[tex]\sigma_z[/tex]

This is calculated as:

[tex]\sigma_z = \sqrt{Var(x) + Var(y)}[/tex]

Calculate [tex]Var(x)[/tex]

We have:

[tex]Var(x) = \sigma_x^2[/tex]

[tex]Var(x) = 8^2[/tex]

[tex]Var(x) = 64[/tex]

Calculate [tex]Var(y)[/tex]

We have:

[tex]Var(y) = \sigma_y^2[/tex]

[tex]Var(y) = 6^2[/tex]

[tex]Var(y) = 36[/tex]

So, we have:

[tex]\sigma_z = \sqrt{Var(x) + Var(y)}[/tex]

[tex]\sigma_z = \sqrt{64 + 36}[/tex]

[tex]\sigma_z = \sqrt{100}[/tex]

[tex]\sigma_z = 10[/tex]


Related Questions

Utility software as a service giving programs. Explain. Give me the answer please coming Sunday my homework will be check.​

Answers

Answer:

Explanation:

Utility software is software designed to help to analyze, configure, optimize or maintain a computer. It is used to support the computer infrastructure - in contrast to application software, which is aimed at directly performing tasks that benefit ordinary users.

can someone answer this? I'll mark u the brialintest!

Answers

pre convert single digits, or sometimes parts of a sum, then sum up. like this:

1.) 2³+2²+2^1+2^0 = 8+4+0+1 = 13

2.) 512 + 0 + 128 + 0 + 0 + 16 + 0 + 4 + 2 + 0 = 1010010110

you just need to know what the powers of two are, then you know how to convert numbers.

like 100 = 4 and 1 = 1 then 101 = 4 + 1 and in the other direction just take chunks of 5 until theres nothing left, but care not to overshoot the sum

5 = 2² + 0 + 2^1 = 101 in base2

the zeros are for the order, every time I would overshoot, it's a zero.

3.) 16 + 2 + 19 = 37

4.) 8² is 64, or (100)base8

8³ or 1000 would already overshoot, so let's see what we can do with the smaller value of a digit in base8, 8² = 64

we can 8 different digits (0 to 7) in base8

7x8^2 + 2*8^1 + 5*8^0

448 + 16 + 5

= (725)base8

very low battery right now. let me now if this already helps to grasp the concept. I'll come back later.

edit1: recharging my phone now. but I need to show quickly in order to get my own stuff done.

quick side note on topic: the number always stays the same, like if there would be a number of beans lying on the table. we justcrrorder them to write in another system. in normal base 10, 312 beans would be grouped intuitively in 3*100, 1*10 and 1*1

or: 3*10^2 + 1*10^1 + 2*10^0

note that something to the power of zero is always one (e.g.: 5^0 is like 5÷5)

what is a computer in daily life​

Answers

Answer:

The use of computers on a regular basis in our life is very important. Technically in daily life computer is used to convert raw facts and data into meaningful information and knowledge. Computer science is explored and challenged by humans daily. The computer is like an electronic magical device for our life.

Explanation:

i need a computer science help.....and I rlly want it right now...this the question
calculate all multiples of 5 that are less than a randomly generated number between 12 and 45. for example the random number is 16. the output is then 5,10,15 python

so basically if type a number between 12 and 45 it shud give me all the multiples of 5 less than the number i typed......pls help;-;

Answers

Define, en tus propias palabras, lo que son los sistemas de información.

Cuál es la dirección de la última fila y columna de excel

Answers

Answer:

XFD 1,048,576.

Explanation:

Excel es un programa de Microsoft por el cual se generan bases de datos y planillas de cálculo, que permiten al usuario desarrollar registros contables referidos a sus distintas actividades comerciales, laborales o de otra índole, así como también realizar cálculos matemáticos y operaciones lógicas a través de distintas fórmulas. En la actualidad, el programa tiene un máximo de 16.384 columnas y 1.049.576 filas, con lo cual la ultima fila y columna de una hoja de cálculo será XFD 1.048.576.

Write a program that takes the account's present value, monthly interest rate, and the number of months that the money will be left in the account as three inputs from the user. The program should pass these values to a function thatreturns the future value of the account, after the specified number of months. The program should print the account's future value.

Answers

Answer:

Assuming this is going to de made with python:

def main():

   currentValue = float(input("Current value of account: "))

   monthlyInterestRate = float(input("Monthly interest rate: "))

   monthsToWait = int(input("Amount of months the money will be left in the account: "))

   monthlyInterestRateToPercent = monthlyInterestRate / 100

   futureValue = float(round((currentValue + currentValue * monthlyInterestRateToPercent * monthsToWait), 2))

   print("The future value of this account will be " + str(futureValue))

main()

Explanation:

Hope this helped. Also, if this is incorrect please tell me what needs to be added so I can add it for future viewers. Have a good day :)

What is ADO.net????????​

Answers

Answer:

ADO.NET stands for ActiveX Data Object is a database access technology created by Microsoft as part of its .NET framework that can access any ...

Developer: Microsoft Corporation

define analogue computer with any four features​

Answers

Answer:

hope it helps you

Explanation:

and pls mark as brainlist ans

explain the term creating in word processing​

Answers

Answer:

Explanation:

Word processing describes creating or editing a document using a word processor such as Microsoft word, etc For example, a student could create a book report in a word processor application.

When you evaluate the use of digital media, how has it affected the newspaper business? The rise of digital media has caused newspaper subscriptions to decline significantly because people are finding their news online. The rise of digital media has had no measurable effect on newspaper subscriptions. The rise of digital media has caused newspaper subscriptions to increase because it has inspired people to care more about news. The rise of digital media has caused newspaper subscriptions to fluctuate depending on the time of year.

Answers

Answer:

The rise of digital media has caused newspaper subscriptions to decline significantly because people are finding their news online.

It is A

Answer:

The rise of digital media has caused newspaper subscriptions to decline significantly because people are finding their news online.

Richard needs to copy information from another slide presentation that uses a different design template. To ensure that the information he is copying looks right, which option should he choose?

Answers

Answer:

Yes, you can copy the slides over into a presentation with master slide. Then, right-click each slide, and choose to apply an appropriate template from the master slide

(from vik7336: Hi, I'm not sure about my answer for your question. So I hope this might help)

In what ways can technology help you be more productive? (Select all that apply.)
Enables you to create electronic documents that present your ideas clearly and effectively
Enables you to communicate with people anywhere in the world
Enables you to store documents on a thumb drive
Enables you to eliminate procrastination habits

Answers

Answer:

Enables you to create electronic documents that present your ideas clearly and effectively.

Enables you to communicate with people anywhere in the world.

Enables you to store documents on a thumb drive.

Explanation:

Technology is the use or application of scientific knowledge to the way we live life. In other words, we can say that technology is the branch of knowledge that deals with the use of technical means in everyday life.

One of the ways that technology can help people be more productive is that it enables one to create electronic documents that clearly and effectively present one's ideas. It also helps in the communication process, especially in between long distances. Added to that, technological use also enables us to store documents on a thumb drive and enables easy transfer of documents and files.

Thus, the correct answers are the first, second, and third options.

A company runs an application on a fleet of EC2 instances. The company wants to automate the traditional maintenance job of running timely assessments and checking for OS vulnerabilities. As a Cloud Practitioner, which service will you suggest for this use case

Answers

Answer:

AWS Systems Manager

Explanation:

AWS Systems Manager (https://aws.amazon.com/systems-manager/features/) is the service that allows to centralize operational data from multiple AWS services and automate tasks across AWS resources.

write down the appropriate technical term of following statements.​

Answers

Answer:

it is not seeing full. please give full

Short Questions: a) What is website? How can we browse internet using website?​

Answers

Answer:

A website is a set of related web page or pages located under a single domain name. These pages contain specific information which was all provided by one person or entity and traces back to a common Uniform Resource Locator or (URL).

Explanation:

There are millions of Websites around the world and contain information about everything.

The marketing department has hired a new employee. Prior to the new employee's first day at work, you have set up and configured a new laptop computer. The computer and all of the peripherals were purchased from the same vendor. After the new employee begins work, you receive a phone call stating that the wireless mouse is not working.

Which of the following is the MOST likely reason the mouse isn't working?

A. The USB mouse driver is too old for the current mouse.
B. The USB mouse is not a wireless mouse and needs to be plugged into the computer.
C. The USB mouse is malfunctioning.
D. The USB mouse receiver is not plugged into the computer.

Answers

Answer:the usb mouse receiver is not plugged into the computer

Explanation:

In the case above, one can say that the USB mouse receiver is not plugged into the computer.

What is a USB mouse?

A USB mouse is known to be a tool that is often attaches to a computers USB port.

In the case above, one can say that the USB mouse receiver is not plugged into the computer and as such it cannot perform the task it need to do.

Learn more about USB mouse from

https://brainly.com/question/10847782

#SPJ9

write fade in shorthand​

Answers

Answer:

"Fade In is a Class Act" Macworld says: "Fade In makes it easy to just write...It has all the features you'd find in the more expensive apps, such as Final Draft and Movie Magic Screenwriter, and there's even free and paid iPhone, iPad, and Android apps available

Explanation:

The place on the computer where information is stored temporarily so the processor can access it quickly is called what? Memory Kernel Mode Driver

Answers

Answer:

The answer is Memory

Is there any quantum computer in India?​

Answers

yes, Qulabs was one of the first quantum computing startups in India.

You notice a growing number of devices, such as environmental control systems and wearable devices, are connecting to your network. These devices, known as smart devices, are sending and receiving data via wireless network connections.
Which of the following labels applies to this growing ecosystem of smart devices?
A. The smartnet
B. Internet of smart devices
C. *Internet of things*
D. Dynamic environment

Answers

Answer:

*Internet of things*

Explanation:

A network with multiple physical smart devices are known as things on the network

pasagot po please need lang po

Answers

me I can not see it oooo re write it

Which vendor owns the software platform Fusion?
A.
Microsoft
B.
Apple
C.
SAP
D.
Oracle

Answers

Answer: D

Explanation:

D. Oracle owns the software platform Fusion

Which is not true about climatic normals?

Multiple choice question.

A)
They can differ from daily weather conditions.

B)
They are gathered at one location.

C)
They are averaged over a 30-year period.

D)
They describe average conditions.

Answers

Answer:

I think c is correct answer

Explanation:

hope it's help yu

How is kerning used in Word?

to adjust the spacing between two paragraphs
to adjust the spacing between words in a paragraph
to adjust the spacing between characters that make up a word
to adjust the spacing between a paragraph and the page border

Answers

Answer: To adjust the spacing between characters that make up a word

Explanation: Kerning refers to the way spacing between two specific characters is adjusted. The idea is to give a better looking result by reducing the spacing between characters that fit together nicely (such as "A" and "V") and increasing the spacing between characters that don't. Select the text that you want to change.

Answer:

C. To adjust the spacing between characters that make up a word

Explanation:

hope this helps :)

What is a possible explanation for the issue described below? A user reports that ever since she or he began creating animations, graphics, and video clips for the company’s Web site on her or his computer, the computer has begun running slower, especially when performing the graphics functions. The computer needs an increase in VRAM. The computer needs an increase in SRAM. The computer needs an increase in SIMM. The computer needs an increase in RIMM.

Answers

VRAM because VRAM is used for graphic intensive workloads

Answer:

The computer needs an increase in VRAM

It is A

write technical terms for the following statements.
A) A collection of programs which make computer work.
B) A language processor that converts assembly language codes in to machine language.
C)Software that is the basic requirement of a computer.
D) The software which help to maintain the hardware and software.
E) Applications software that is designed for an organization.
F)The software which does not provide right to modify.
G) The binary code obtained after the translation of source code.
H) The application which is needs internet to access and update. ​

Answers

Answer:

A) software

B)assembler

C)operating system

D)system software

E)data base

F)software license

G)machine code

H)ONLINE shopping apps

True or false we can used virus not use pirated software and programs ​

Answers

Answer:

False i guess

What is generation of computer ?​

Answers

I HOPE THIS INFORMATION WILL HELP YOU A LOT......

Generation in computer terminology is a change in technology a computer is/was being used. Initially, the generation term was used to distinguish between varying hardware technologies. Nowadays, generation includes both hardware and software, which together make up an entire computer system.

Hope this answer helps you..!!

..

..

Plz select it as the BRAINLIEST..!!

The IT manager has tasked you with installing new physical machines. These computer systems are barebone systems that simply establish a remote connection to the data center to run the user's virtualized desktop. Which type of deployment model is being used

Answers

The type of deployment model that is used is referred to as Thin client.

A thin client is also referred to as lean client. It is a model that runs on the resources that are stored on a central server rather than in the resources if the computer.

A thin client is useful for shared services, and desktop virtualization. The work carried out by the server include storage of data, performing if calculation, launching software programs etc.

On conclusion, since the information given in the question explains that there's a remote connection to the data center to run the user's virtualized desktop, then the deployment model is a thin client.

Read related question on:

https://brainly.com/question/13934016

Angelina has added page numbers to her report, but all of the pages are labeled "Page 1” at the bottom. What caused this issue?
She typed “Page 1” in the footer.
She added a header instead of a footer.
She did not create a numbered list in her footer.
She forgot to click the Continue Numbering option.

Answers

Answer:

She typed "Page 1" in the footer.

Explanation:

This occured because the footer only repeats the same message across the footers unless you enable page numbering.

Hope this helps!

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