2c:null 2d:["$","title",null,{"children":"Likformig fördelning | Mattias Villani | Observable"}] 32:[] 30:{"id":"44778ec5c2b7135c","slug":"likformig-fordelning","title":"Likformig fördelning","thumbnail":"826c815c7740a8d44a47f2aa82543c7a0b139e25b768f555d87aefbf05a44595","access_level":"public","create_time":"$D2023-02-03T14:50:54.104Z","update_time":"$D2023-11-17T20:56:59.828Z","view_time":null,"first_public_time":"$D2023-02-03T14:50:54.104Z","fork":{"id":"25d835ea95563034","slug":"exponentialfordelningen","title":"Exponentialfördelningen","owner":{"id":"7592a7ab121f74a0","login":"mattiasvillani","name":"Mattias Villani"}},"stars":0,"starred":false,"owner":{"type":"team","id":"7592a7ab121f74a0","login":"mattiasvillani","name":"Mattias Villani","avatar_url":"https://avatars-next.observableusercontent.com/a440aaf39a3abefb86cbcc758fd7a5ab42555ae68d6825b52ec006f385a94d1d","tier":"pro_2024"},"version":630,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"56499be8cf43f0ef","login":"mattiasvillani","name":"Mattias Villani","avatar_url":"https://avatars-next.observableusercontent.com/a440aaf39a3abefb86cbcc758fd7a5ab42555ae68d6825b52ec006f385a94d1d","tier":null}],"members":[{"type":"individual","id":"56499be8cf43f0ef","login":"mattiasvillani","name":"Mattias Villani","avatar_url":"https://avatars-next.observableusercontent.com/a440aaf39a3abefb86cbcc758fd7a5ab42555ae68d6825b52ec006f385a94d1d","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":1,"collection":{"id":"209e13808f44ed11","slug":"sda1","title":"SDA1","owner":{"id":"7592a7ab121f74a0","login":"mattiasvillani","name":"Mattias Villani"}},"type":"notebook","body":{"title":"Likformig fördelning","cells":[{"id":38,"value":"# Likformig fördelning","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":627,"value":">

${tex`X\\sim \\operatorname{Uniform}(a,b)`}, för ${tex`X \\in [a,b]`}","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":496,"value":"## Täthetsfunktion och moment","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":618,"value":"tex`X\\sim \\mathrm{Uniform}(a,b)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":118,"value":"viewof params = Inputs.form([\n Inputs.range([-5, 5], {value: 0, step: 0.1, label: tex`a:`}),\n Inputs.range([-5, 5], {value: 1, step: 0.1, label: tex`b:`}),\n Inputs.range([-5, 5], {value: 1, step: 0.01, label: \"Kvantil:\"})\n ])","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":461,"value":"dist_quantile = tex`\\text{Om } X \\sim \\operatorname{Uniform}(${params[0]},${params[1]}) \\text{ så gäller att } `","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":555,"value":"moments = tex`\n\\begin{aligned}\n&E( X) =\\frac{a+b}{2} = ${((params[0] + params[1])/2).toPrecision(3)} \\\\[1em]\n&Var( X) =\\frac{(b-a)^2}{12} = ${(((params[1]-params[0])**2)/12).toPrecision(3)} \\\\[1em]\n&P( X\\leq ${params[2]}) =${unifcdf.toPrecision(4)}\n\\end{aligned}\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":305,"value":"plt_pdf = Plot.plot({\n color: {\n legend: true\n },\n x: {\n label: \"x\",\n axis: true,\n domain: [-5.5,5.5]\n },\n y: {\n label: \"f(x)\",\n axis: true,\n domain: [0,1.1/(params[1]-params[0])]\n },\n marks: [\n Plot.ruleY([0]),\n //Plot.ruleX([0]),\n Plot.line(unifpdf, {x: \"x\", y: \"pdf\", stroke : \"orange\", strokeWidth: 2}),\n Plot.areaY(unifpdf, {filter: d => d.x <= params[2], x: \"x\", y: \"pdf\", fill: \"orange\", opacity: 0.2})\n ]\n })","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":109,"value":"
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\n\n---\n## 🙈 Appendix 🙈\n\nHär följer bara kod och detaljer som du antagligen inte vill läsa.","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":221,"value":"#### Imports","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":26,"value":"jstat = require('jstat')","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":223,"value":"#### Data","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":17,"value":"unifpdf = {\n const x = d3.range(-5.1, 5.1, 0.001);\n const unifpdf = x.map(x => ({x: x, pdf: jstat.uniform.pdf(x, params[0], params[1])}));\n return unifpdf\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":19,"value":"unifcdf = jstat.uniform.cdf(params[2], params[0], params[1]);","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":229,"value":"#### Style","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":202,"value":"","pinned":false,"hidden":false,"mode":"html","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":58,"value":"viewof md_colour = Inputs.color({label: \"Highlight color cells\", value: \"#F5F5DC\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W32","stdlib":"1","titling":"auto"}} 31:"$30:body"