Let X be a continuous random variable having cumulative distribution function F. Define the ran- dom variable Y by Y

Answers

Answer 1

The Cumulative Density Function of [tex]Y[/tex] is the function [tex]F_{Y} (y)[/tex][tex]=y[/tex] on the interval [tex][0,1][/tex].

What is Cumulative Distribution Function?

The likelihood that a real-valued random variable, let's say "X," would have a value less than or equal to the value x is represented by the cumulative distribution function (CDF) of that variable in probability and statistics. A random variable is one that specifies the potential values of an unexpected phenomenon's outcome. It has definitions for both random and discrete variables. The distribution of the multivariate random variables is also specified using it. The tail distribution, sometimes referred to as the complementary cumulative distribution function, occurs when the random variable is above a certain level (CCDF). You will learn about the cumulative distribution function in this article, along with its characteristics, calculations, uses, and examples.

Let [tex]X[/tex] be a continuous random variable with CDF [tex]F[/tex].

Now, define [tex]Y=F(X)[/tex]. Since we have that [tex]X[/tex] ∈ [tex]R[/tex], we will also have [tex]F(X)[/tex]∈[tex][0,1][/tex]. So, take any [tex]y[/tex]∈[0,1]. We have that,

[tex]P[/tex][tex]([/tex][tex]Y[/tex]≥[tex]y[/tex][tex])[/tex][tex]=[/tex][tex]P(F(X)[/tex]≤[tex]y[/tex][tex]=[/tex][tex]P(X\leq F^{-1} (y))[/tex][tex]=F(F^{-1}(y))[/tex][tex]=y[/tex]

So, we see that the CDF of [tex]Y[/tex] is the function [tex]F_{Y} (y)[/tex][tex]=y[/tex] on the interval [tex][0,1][/tex].

Hence, we have: [tex]Y[/tex]∼Unif[tex](0,1)[/tex].

Learn more about cumulative density function with the help of the given link:

https://brainly.com/question/13755479

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Related Questions

definition atmosphere what does atmosphere consists of ?

Answers

Answer : An atmosphere is the layers of gases surrounding a planet or other celestial body. Earth's atmosphere is composed of about 78% nitrogen, 21% oxygen, and one percent other gases.

Earth's atmosphere is composed of about 78% nitrogen, 21% oxygen, and one percent other gases. These gases are found in layers (troposphere, stratosphere, mesosphere, thermosphere, and exosphere) defined by unique features such as temperature and pressure

Answer:

The atmosphere is the envelope of gases surrounding the Earth or other planet. It contains 78% Nitrogen, 21% Oxygen, 0.9% Argon, and other gases (such as: Carbon Dioxide, Water Vapor, Methane, and Neon) as the remaining 0.1%.  

+I would have answered this sooner if I saw it. Sorry :(

a specific form of a gene that provides instructions for making a particular protein molecule is called:

A. Gene version
B. Variation
C. Feature
D. Gene

Answers

Answer:

A. Gene molecule.

Explanation:

The question was A specific form of a gene that provides instructions for making a particular protein molecule is called

A gene molecule Is used as an Instruction for making a protein molecule. Hence the answer is A. Gene molecule

James made the following table to compare the common characteristics of planets. Which of the following would best replace X?


Characteristic Mars Neptune
Atmosphere is present Yes Yes
Surface composition Solid rock Gas
Rings are present No Yes
X are present Yes Yes


A Asteroids
B Comets
C Moons
D Stars

Answers

Answer:  C) Moons

========================================================

Explanation:

A moon is effectively a large satellite that is not made by humans. This object orbits the planet at some regular interval.

Mars has 2 moons named Phobos and Deimos (named after two greek gods)

Neptune has 14 moons, which I won't name here because the list would be very lengthy.

Side note: Jupiter has the most moons of the solar system. It has 67 moons.

Answer:

c moons

Explanation:

hope this helps

In the 1500s, European explorers made contact with Choctaw and Chickasaw in Mississippi. These explorers were from what country?
A)
England
B)
France
Mexico
D)
Spain

Answers

Answer:

The explorers were from:

D. Spain

Explanation:

It was in 1540 that Spanish explorer Hernando de Soto first made contact with the Choctaws and the Chickasaws. Soto and his company of conquistadors were sent on an expedition, and he was the very first European to see the Mississippi river. He was buried in the river, as a matter of fact, after dying from a fever. Throughout his life as an explorer, Soto traveled to several places in the American continent, helping conquer lands. No wonder he did not receive any blessings from the natives upon his death.

Can anybody think of main points for a presentation about mummies?
I got one which was different types of mummification, but I need one more atleast.

Answers

Maybe you can add their purpose/importance or what it represented to others and their beliefs towards mummies.

Eli Whitney's idea of interchangeable parts resulted in ?

Answers

Interchangeable parts, popularized in America when Eli Whitney used them to assemble muskets in the first years of the 19th century, allowed relatively unskilled workers to produce large numbers of weapons quickly and at lower cost, and made repair and replacement of parts infinitely easier.

What's TRUE about spending
a lot of time online?
A. It can hurt your friendships
B. It can hurt your grades
C. It can hurt your mental health
D. All of the above
Continue

Answers

B and C I mean there all true but the mental health is hella real

Answer:

D

Explanation:

ALL OF THE ABOUT.........

Ultimately, the Phoenician trade route included ___________. A) three continents B) two continents C) four countries D) three countries

Answers

Answer:

A) three continents

Explanation:

The Phoenician trade route included three continents: Europe, Africa, and Asia.

And more specifically: Mediterranean Europe, Northern Africa, and the Middle East, although some routes reached places even farer out.

These routes were a force of development during Antiquity, and led to market exchange among many different cultures, like the Gauls, the Italic peoples, the Iberians, the Bedouins, the Greeks, the Romans, the Egyptians, etc.

PLEASEEEEEE HELP ME AND SOON:
Imagine you are an Underground Railroad conductor. Create three to five journal entries of three to five sentences each about your interactions with slaves escaping to the North. You may choose which state you live in, where you choose to help, what you provide, what time of year it is, etc.

Answers

June 31st 1859 , I was helping some slaves make it up north to newyork when we were stopped by a slave catcher. My lungs longed for air as i hoped he moved along so I can see my son in Newyork. We made it to Kentucky where i was informed that the slaves i had helped escape last month were caught and tooken back to the plantation and beaten. I work on a plantation Here in Kentucky and I feed the slaves good

fresh food in plantations all over and I haven't been caught Yet.

Hope this helps !

how can an American obtain dual citizenship?

Answers

Answer:

Being born in America makes you a full citizen of America.

what are functions of parliament of india​

Answers

Answer:

The Parliament has the power to amend the Constitution of India. Both Houses of the Parliament have equal powers as far as amending the Constitution is concerned. Amendments will have to be passed in both the Lok Sabha and the Rajya Sabha for them to be effective.

Hope it helps! ^-^

Answer:

Legislative Functions: The Parliament makes laws on all subjects listed in the Union List

Financial Control

Providing and exercising control over Cabinet

Critical Assessment of the Work of the Cabinet

Role of opposition

An organ of information

Constitutional Functions

Judicial Function

What did the Europeans learned to farm from the Eastern Native ?

Answers

I think they taught them how to grow corn :) good luck

Dating serves several important functions that include:
A. a form of entertainment
B. being a mechanism for socialization
C. meeting basic psychological needs
D. all of the above

Answers

Explanation:

aaaaaaaaaaaaaaaasaaaaa

I believe it is D, I was settled on C but I realized all of it includes those options and more

Which of the following situations is an example of how poll taxes are an obstacle to voting rights?

Answers

Answer:

(d. voters cannot participate because they cannot afford to vote

Explanation:

took the test

Answer:

D

Explanation:

Doing the test.

The political ideas that have shaped the government of the United States came mostly from England. Before that, these ideas could be traced most directly to

Answers

Answer:

the Roman Empire.

Explanation:

The government of the United States had a similar political branch as the Roman empire. The Roman empire had a lasting legacy in political aspects such as government, law, language, etc. Though the United States political ideas came from the United Kingdom they could be traced directly to the Roman empire.

Just like the Roman Republic, the United States has three branches and named Senate after the name of Senate of Rome.

Therefore, the Roman empire is the correct answer.

How was Greek society divided? Who were the so-called non-citizens and what rights did they have?

Answers

Answer:

Although ancient Greek Society was dominated by the male citizen, with his full legal status, right to vote, hold public office, and own property, the social groups which made up the population of a typical Greek city-state or polis were remarkably diverse. Women, children, immigrants (both Greek and foreign), labourers, and slaves all had defined roles, but there was interaction (often illicit) between the classes and there was also some movement between social groups, particularly for second-generation offspring and during times of stress such as wars.

help now please I am begging you

Answers

Well since the first city in Georgia was Savannah and III is Savannah River..

The answer would be III

what is traditional knowledge ​

Answers

Answer:

Traditional knowledge, indigenous knowledge and local knowledge generally refer to knowledge systems embedded in the cultural traditions of regional, indigenous, or local communities

Explanation:

Answer:

It is practical common sense based on teachings and experiences passed on from generation to generation.

What was the following was not an advancement that was made in Alexandria.

Gunpowder invented
geometry created
Levers and pulleys invented
Distance around the whole Earth discovered

Answers

I believe that gunpowder was invented in China not Alexandria

How did American Indian attitudes about land use change after the Europeans arrived

Answers

How did American Indian attitudes about land use change after the Europeans arrived

Why can we relate/make connections between the Breaking Point of water tension on a penny with the condition of the United States during this time period

Answers

Answer:

We relate/make connections between the Breaking Point of water tension on a penny with the condition of the United States during this time period is explained below in detail.

Explanation:

This is because conventional tap water has greater surface pressure, so the surface is “more powerful” and can hold collectively a bigger drop. Adding detergent reduces the water's surface pressure so the drop becomes smaller and splits apart quickly. As drops of water are combined onto a penny, the sticking force between the water and the penny holds the water from dropping off.

How does Bartolome' de las Casas describes the Native Americans

Answers

Explanation:

Although the Catholic church would have awarded sovereign power from over New Land to Slovenia, de Las Casas asserted that the indigenous peoples still owned the ownership rights and liberties with their own labourers. Indians were topics of the Spanish empire, and the regulations of Deity, existence.

Dose lack of socialization hurt a child’s physical and emotional development? Explain

Answers

Answer:

yes.

Explanation:

every child craves attention once and awhile. they grow when they interact with other people.

10 brainly points asap

Answers

Answer:

b

Explanation:

The answer to your question is B

_______ the process of gaining citizenship in another country legally

A: A big smile from your family.


B: A Passport


C: Learning how to read


D: Naturalization

Answers

Answer:

B

Explanation:

Explain why our form of government, a republic, requires active citizenship.

Answers

Answer:

Explanation:

Some ways of getting involved are:

-voting (here for the experience, ask yourself if you have the right to vote? does your family vote? your friends?

-participating in political campaigns (do you know anyway that participated in a campaign? You can also do it unofficially, for example even by  about a candidate!)

-belonging to a party - do you know anyone in a political party?

Before the addition of certain amendments to the Constitution, who was not allowed to vote?

A) Slaves and women
B) Men who owned property
C) British immigrants
D) Government officials

Answers

If it’s just one answer i think A

hope it helps
A

I hope that helps!

How did islamic law protect enslaved people?

Answers

Answer:

Islamic law: this allowed slaves to earn their livelihood, otherwise it was the duty of their owners to provide it.

However, he could not be forced to earn money for his masters unless there was some kind of agreement between the two, that is, master and slave. This relationship appears in Islamic jurisprudence.

How powerful a thank you can be

Plss help at least
500-600 words
ASAP

Answers

Answer:

The two most powerful words you can say in life aren’t what you’d expect.

It’s not “love you” or “I’m sorry”—though those are quite commanding as well. It’s not “me too”—although that is affirming and potent in its own right.

The most impactful thing you can ever say is “thank you.” Yes, really.

Saying “thank you” is a compelling way to wipe the slate clean. Saying “thank you” is a 2-for-1 gift of gratitude and forgiveness all wrapped in one. Saying “thank you” is the turning point between letting go of what’s happened and embracing what’s to come.

Perhaps the biggest reason why saying thanks is extremely powerful is that it is an acknowledgement that you have grown. Even if you might not have enjoyed the process of getting to where you are, it is a hat tip to the role it played in helping to shape you into who you’ve become. “Thank you” says, “I’m happy just the way I am and exactly with how things turned out.” “Thank you” is a form of vulnerability that drives out and defeats shame.Thank you,” then, is a form of self-love—a wave of compassion sent back inward that recognizes the strength it took to overcome the hardships and challenges to get to where you are today. Brick by brick you’ve built a more formidable foundation from which you can appreciate your past and embrace the future. And that House of Strength was built with little bricks of appreciation that say, “thank you.”Being thankful—and truly meaning it—is a shift in energy that attracts new and exciting things into your life because it signals that you’re ready to receive them. Gratitude opens up little doors in your heart that you previously kept locked. And when those doors unlock and open, it’s possible for you to pick and choose your own adventure. It’s possible to start over. It’s possible to pursue any direction your heart can imagine.

“Thank you” is the key to unlocking your true potential. All you have to do is recognize that you’ve had the power within you all alongWhether it’s to the kind cashier at the grocery store, your nightmare former boss or an ex whom you truly loved—”thank you” shows that you recognize the value of a situation or a person in your life. It is a tremendous display of respect because it shows you appreciate that person’s presence. Thus, the expression of “thank you” in this context is ultimately a realization of the oneness of all things. You dignifying another person in this way is also a way to dignify yourself—to become conscious that we are all one in the same.

It’s also an incredibly empowering nod to something bigger, bolder and grander than you could ever imagine. Because it shows that you understand there are forces at play that are beyond your control but that you find beautiful nonetheless.

The table shows how water in the US was used in 2010. Which statement accurately summarizes the data?

More water was used to farm aquatic organisms than to make products.
More water was used to make products than to produce electricity.
More water was used to produce electricity than to grow crops.
More water was used to grow crops than to mine land resources.

Answers

Answer:

C- More water was used to produce electricity than to grow crops.

Explanation:

Got it right on Edge 2021

Answer:

C, More water was used to produce electricity than to grow crops.

Explanation:

itadori supremacy

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