Mixing
Chebyshev's inequality- lower bound
$begingroup$
Let $X$ is a random variable, such that $X ge 0$ , $E(X)=1$ and $D^2(X)=3$.
I want to find the lower bound $P(X ge 3)$.
I'm a little confused, because we can use Chebyshev's inequality If we want to find a upper bound.
probability random-variables
asked Jan 17 at 14:08
pawelKpawelK
527
$endgroup$
add a comment |
$begingroup$
Let $X$ is a random variable, such that $X ge 0$ , $E(X)=1$ and $D^2(X)=3$.
I want to find the lower bound $P(X ge 3)$.
I'm a little confused, because we can use Chebyshev's inequality If we want to find a upper bound.
probability random-variables
asked Jan 17 at 14:08
pawelKpawelK
527
$endgroup$
$begingroup$
Maybe the content of the task is wrong.
$endgroup$
– pawelK
Jan 17 at 22:19
add a comment |
$begingroup$
Let $X$ is a random variable, such that $X ge 0$ , $E(X)=1$ and $D^2(X)=3$.
I want to find the lower bound $P(X ge 3)$.
I'm a little confused, because we can use Chebyshev's inequality If we want to find a upper bound.
probability random-variables
asked Jan 17 at 14:08
pawelKpawelK
527
$endgroup$
Let $X$ is a random variable, such that $X ge 0$ , $E(X)=1$ and $D^2(X)=3$.
I want to find the lower bound $P(X ge 3)$.
I'm a little confused, because we can use Chebyshev's inequality If we want to find a upper bound.
probability random-variables
probability random-variables
asked Jan 17 at 14:08
pawelKpawelK
527
asked Jan 17 at 14:08
pawelKpawelK
527
asked Jan 17 at 14:08
pawelKpawelK
527
asked Jan 17 at 14:08
pawelKpawelK
527
asked Jan 17 at 14:08
pawelKpawelK
527
527
$begingroup$
Maybe the content of the task is wrong.
$endgroup$
– pawelK
Jan 17 at 22:19
add a comment |
$begingroup$
Maybe the content of the task is wrong.
$endgroup$
– pawelK
Jan 17 at 22:19
$begingroup$
Maybe the content of the task is wrong.
$endgroup$
– pawelK
Jan 17 at 22:19
$begingroup$
Maybe the content of the task is wrong.
$endgroup$
– pawelK
Jan 17 at 22:19
add a comment |
0
active
oldest
votes
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',
autoActivateHeartbeat: false,
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%2f3077014%2fchebyshevs-inequality-lower-bound%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
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.
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%2f3077014%2fchebyshevs-inequality-lower-bound%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
$begingroup$
Maybe the content of the task is wrong.
$endgroup$
– pawelK
Jan 17 at 22:19