Finding probability, when density function is given
up vote
0
down vote
favorite
I have density function $f(x,y)=4xy mathbb{I}_{[0,1] times [0,1]}(x,y)$.
I need to find:
1) $mathbb{P}_F([0,1/3]times[0,1/2])$
2) $mathbb{P}_F([2/3,1]timesmathbb{R})$
So in 1) I got $1/36$ I don’t know is it right, but I was integrating $f(x,y)$. Actually, I also find $Delta_s F$ and got the same.
2) I can’t get the answer. Or the answer is 0. I am not sure. I was doing the same as in 1) Can somebody help me with this?
probability integration probability-theory density-function
asked Nov 28 at 9:32
Atstovas
607
add a comment |
up vote
0
down vote
favorite
I have density function $f(x,y)=4xy mathbb{I}_{[0,1] times [0,1]}(x,y)$.
I need to find:
1) $mathbb{P}_F([0,1/3]times[0,1/2])$
2) $mathbb{P}_F([2/3,1]timesmathbb{R})$
So in 1) I got $1/36$ I don’t know is it right, but I was integrating $f(x,y)$. Actually, I also find $Delta_s F$ and got the same.
2) I can’t get the answer. Or the answer is 0. I am not sure. I was doing the same as in 1) Can somebody help me with this?
probability integration probability-theory density-function
asked Nov 28 at 9:32
Atstovas
607
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have density function $f(x,y)=4xy mathbb{I}_{[0,1] times [0,1]}(x,y)$.
I need to find:
1) $mathbb{P}_F([0,1/3]times[0,1/2])$
2) $mathbb{P}_F([2/3,1]timesmathbb{R})$
So in 1) I got $1/36$ I don’t know is it right, but I was integrating $f(x,y)$. Actually, I also find $Delta_s F$ and got the same.
2) I can’t get the answer. Or the answer is 0. I am not sure. I was doing the same as in 1) Can somebody help me with this?
probability integration probability-theory density-function
asked Nov 28 at 9:32
Atstovas
607
I have density function $f(x,y)=4xy mathbb{I}_{[0,1] times [0,1]}(x,y)$.
I need to find:
1) $mathbb{P}_F([0,1/3]times[0,1/2])$
2) $mathbb{P}_F([2/3,1]timesmathbb{R})$
So in 1) I got $1/36$ I don’t know is it right, but I was integrating $f(x,y)$. Actually, I also find $Delta_s F$ and got the same.
2) I can’t get the answer. Or the answer is 0. I am not sure. I was doing the same as in 1) Can somebody help me with this?
probability integration probability-theory density-function
probability integration probability-theory density-function
asked Nov 28 at 9:32
Atstovas
607
asked Nov 28 at 9:32
Atstovas
607
asked Nov 28 at 9:32
Atstovas
607
asked Nov 28 at 9:32
Atstovas
607
asked Nov 28 at 9:32
Atstovas
607
607
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
up vote
1
down vote
accepted
Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 at 9:36
Kavi Rama Murthy
47.1k31854
Got it! Thank you
– Atstovas
Nov 28 at 9:44
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3016954%2ffinding-probability-when-density-function-is-given%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 at 9:36
Kavi Rama Murthy
47.1k31854
Got it! Thank you
– Atstovas
Nov 28 at 9:44
add a comment |
up vote
1
down vote
accepted
Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 at 9:36
Kavi Rama Murthy
47.1k31854
Got it! Thank you
– Atstovas
Nov 28 at 9:44
add a comment |
up vote
1
down vote
accepted
up vote
1
down vote
accepted
Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 at 9:36
Kavi Rama Murthy
47.1k31854
Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 at 9:36
Kavi Rama Murthy
47.1k31854
answered Nov 28 at 9:36
Kavi Rama Murthy
47.1k31854
answered Nov 28 at 9:36
Kavi Rama Murthy
47.1k31854
answered Nov 28 at 9:36
Kavi Rama Murthy
47.1k31854
47.1k31854
Got it! Thank you
– Atstovas
Nov 28 at 9:44
add a comment |
Got it! Thank you
– Atstovas
Nov 28 at 9:44
Got it! Thank you
– Atstovas
Nov 28 at 9:44
Got it! Thank you
– Atstovas
Nov 28 at 9:44
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3016954%2ffinding-probability-when-density-function-is-given%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
