{
localUrl: '../page/expected_value.html',
arbitalUrl: 'https://arbital.com/p/expected_value',
rawJsonUrl: '../raw/4b5.json',
likeableId: '3609',
likeableType: 'page',
myLikeValue: '0',
likeCount: '1',
dislikeCount: '0',
likeScore: '1',
individualLikes: [
'EricBruylant'
],
pageId: 'expected_value',
edit: '4',
editSummary: 'moved to expected value, edited clickbait',
prevEdit: '3',
currentEdit: '4',
wasPublished: 'true',
type: 'wiki',
title: 'Expected value',
clickbait: 'Trying to assign value to an uncertain state? The weighted average of outcomes is probably the tool you need.',
textLength: '1347',
alias: 'expected_value',
externalUrl: '',
sortChildrenBy: 'likes',
hasVote: 'false',
voteType: '',
votesAnonymous: 'false',
editCreatorId: 'EricBruylant',
editCreatedAt: '2016-10-13 16:20:55',
pageCreatorId: 'MichaelCohen',
pageCreatedAt: '2016-06-14 20:25:25',
seeDomainId: '0',
editDomainId: 'AlexeiAndreev',
submitToDomainId: '0',
isAutosave: 'false',
isSnapshot: 'false',
isLiveEdit: 'true',
isMinorEdit: 'false',
indirectTeacher: 'false',
todoCount: '0',
isEditorComment: 'false',
isApprovedComment: 'true',
isResolved: 'false',
snapshotText: '',
anchorContext: '',
anchorText: '',
anchorOffset: '0',
mergedInto: '',
isDeleted: 'false',
viewCount: '54',
text: 'The expected value of an action is the [-mean] numerical outcome of the possible results weighted by their [-1rf]. It may actually be impossible to get the expected value, for example, if a coin toss decides between you getting \\$0 and \\$10, then we say you get "\\$5 in expectation" even though there is no way for you to get \\$5.\n\nThe expectation of V (often shortened to "the expected V") is how much V you expect to get on average. For example, the expectation of a payoff, or an expected payoff, is how much money you will get on average; the expectation of the duration of a speech, or an expected duration, is how long the speech will last "on average."\n\nSuppose V has discrete possible values, say $V = x_{1},$ or $V = x_{2}, ..., $ or $V = x_{k}$. Let $P(x_{i})$ refer to the probability that $V = x_{i}$. Then the expectation of V is given by:\n\n$$\\sum_{i=1}^{k}x_{i}P(x_{i})$$\n\nSuppose V has continuous possible values, x. For instance, let $x \\in \\mathbb{R}$. Let $P(x)$ be the continuous probability distribution, or $\\lim_{dx \\to 0}$ of the probability that $x<V<(x+dx)$ divided by $dx$. Then the expectation of V is given by:\n\n$$\\int_{-∞}^{∞}xP(x)dx$$\n\n## Importance ##\n\nA common principle of reasoning under uncertainty is that if you are trying to achieve a good G, you should choose the act that maximizes the expectation of G.',
metaText: '',
isTextLoaded: 'true',
isSubscribedToDiscussion: 'false',
isSubscribedToUser: 'false',
isSubscribedAsMaintainer: 'false',
discussionSubscriberCount: '2',
maintainerCount: '2',
userSubscriberCount: '0',
lastVisit: '',
hasDraft: 'false',
votes: [],
voteSummary: 'null',
muVoteSummary: '0',
voteScaling: '0',
currentUserVote: '-2',
voteCount: '0',
lockedVoteType: '',
maxEditEver: '0',
redLinkCount: '0',
lockedBy: '',
lockedUntil: '',
nextPageId: '',
prevPageId: '',
usedAsMastery: 'false',
proposalEditNum: '0',
permissions: {
edit: {
has: 'false',
reason: 'You don't have domain permission to edit this page'
},
proposeEdit: {
has: 'true',
reason: ''
},
delete: {
has: 'false',
reason: 'You don't have domain permission to delete this page'
},
comment: {
has: 'false',
reason: 'You can't comment in this domain because you are not a member'
},
proposeComment: {
has: 'true',
reason: ''
}
},
summaries: {},
creatorIds: [
'EricBruylant',
'MichaelCohen'
],
childIds: [],
parentIds: [
'math'
],
commentIds: [],
questionIds: [],
tagIds: [
'c_class_meta_tag'
],
relatedIds: [],
markIds: [],
explanations: [],
learnMore: [],
requirements: [],
subjects: [],
lenses: [],
lensParentId: '',
pathPages: [],
learnMoreTaughtMap: {},
learnMoreCoveredMap: {},
learnMoreRequiredMap: {},
editHistory: {},
domainSubmissions: {},
answers: [],
answerCount: '0',
commentCount: '0',
newCommentCount: '0',
linkedMarkCount: '0',
changeLogs: [
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '20137',
pageId: 'expected_value',
userId: 'EricBruylant',
edit: '0',
type: 'deleteTag',
createdAt: '2016-10-13 16:21:46',
auxPageId: '4bn',
oldSettingsValue: '',
newSettingsValue: ''
},
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '20135',
pageId: 'expected_value',
userId: 'EricBruylant',
edit: '0',
type: 'newTag',
createdAt: '2016-10-13 16:21:45',
auxPageId: 'c_class_meta_tag',
oldSettingsValue: '',
newSettingsValue: ''
},
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '20134',
pageId: 'expected_value',
userId: 'EricBruylant',
edit: '4',
type: 'newEdit',
createdAt: '2016-10-13 16:20:55',
auxPageId: '',
oldSettingsValue: '',
newSettingsValue: 'moved to expected value, edited clickbait'
},
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '20133',
pageId: 'expected_value',
userId: 'EricBruylant',
edit: '0',
type: 'newAlias',
createdAt: '2016-10-13 16:20:54',
auxPageId: '',
oldSettingsValue: 'expectation',
newSettingsValue: 'expected_value'
},
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '14389',
pageId: 'expected_value',
userId: 'AlexeiAndreev',
edit: '0',
type: 'newParent',
createdAt: '2016-06-22 17:49:06',
auxPageId: 'math',
oldSettingsValue: '',
newSettingsValue: ''
},
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '13171',
pageId: 'expected_value',
userId: 'EricBruylant',
edit: '3',
type: 'newParent',
createdAt: '2016-06-15 22:40:27',
auxPageId: 'math',
oldSettingsValue: '',
newSettingsValue: ''
},
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '13169',
pageId: 'expected_value',
userId: 'EricBruylant',
edit: '3',
type: 'newEdit',
createdAt: '2016-06-15 22:27:27',
auxPageId: '',
oldSettingsValue: '',
newSettingsValue: ''
},
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '12857',
pageId: 'expected_value',
userId: 'EricBruylant',
edit: '2',
type: 'newEdit',
createdAt: '2016-06-14 22:40:03',
auxPageId: '',
oldSettingsValue: '',
newSettingsValue: ''
},
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '12848',
pageId: 'expected_value',
userId: 'EricBruylant',
edit: '1',
type: 'newTag',
createdAt: '2016-06-14 22:37:16',
auxPageId: '4bn',
oldSettingsValue: '',
newSettingsValue: ''
},
{
likeableId: '0',
likeableType: 'changeLog',
myLikeValue: '0',
likeCount: '0',
dislikeCount: '0',
likeScore: '0',
individualLikes: [],
id: '12788',
pageId: 'expected_value',
userId: 'MichaelCohen',
edit: '1',
type: 'newEdit',
createdAt: '2016-06-14 20:25:25',
auxPageId: '',
oldSettingsValue: '',
newSettingsValue: ''
}
],
feedSubmissions: [],
searchStrings: {},
hasChildren: 'false',
hasParents: 'true',
redAliases: {},
improvementTagIds: [],
nonMetaTagIds: [],
todos: [],
slowDownMap: 'null',
speedUpMap: 'null',
arcPageIds: 'null',
contentRequests: {}
}