31:[] 2f:{"title":"Geometrisk fördelning","cells":[{"id":38,"value":"# Geometrisk fördelning","pinned":false,"hidden":false,"mode":"md"},{"id":776,"value":">

${tex`X\\sim \\operatorname{Geom}(p)`}, for ${tex`X \\in \\{1,2,\\ldots\\}`}","pinned":false,"hidden":false,"mode":"md"},{"id":496,"value":"## Sannolikhetsfunktion och moment","pinned":false,"hidden":false,"mode":"md"},{"id":118,"value":"viewof params = Inputs.form([\n Inputs.range([0, 1], {value: 0.5, step: 0.01, label: tex`p:`}),\n Inputs.range([1, 10], {value: 3, step: 1, label: \"Kvantil:\"})\n ])","pinned":false,"hidden":false,"mode":"ojs"},{"id":461,"value":"dist_quantile = tex`\\text{Om } X \\sim \\operatorname{Geom}(${params[0]}) \\text{ så gäller att } `","pinned":false,"hidden":false,"mode":"ojs"},{"id":555,"value":"moments = tex`\n\\begin{aligned}\n&E( X) = \\frac{1}{p} = ${(1/params[0]).toPrecision(3)} \\\\[1em]\n&Var( X) = \\frac{1-p}{p^2} =${((1-params[0])/(params[0]^2)).toPrecision(3)} \\\\[1em]\n&P( X\\leq ${params[1]}) =${geomcdf.toPrecision(4)}\n\\end{aligned}\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":305,"value":"plt_pdf = Plot.plot({\n color: { \n legend: false\n },\n x: {\n label: \"x\",\n axis: true\n },\n y: {\n label: \"f(x)\",\n axis: true\n },\n title: \"titular\",\n tooltip: {\n fill: \"#0F52BA\",\n stroke: \"#0F52BA\",\n opacity: 1,\n },\n marks: [\n Plot.ruleY([0]),\n Plot.barY(geompdf,{x: \"x\", y: \"pdf\", fill: \"#B6D0E2\", strokeWidth: 0, opacity: 1,\n title: (d) => `P(X=${d.x}) = ${(d.pdf).toPrecision(4)}`}),\n Plot.barY(geompdf, {filter: d => d.x <= params[1], x: \"x\", y: \"pdf\", fill: \"#6F8FAF\", opacity: 1,\n title: (d) => `P(X=${d.x}) = ${(d.pdf).toPrecision(4)}`})\n ]\n })","pinned":false,"hidden":false,"mode":"ojs"},{"id":109,"value":"
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\n\n---\n## 🙈 Appendix 🙈\n\nHär följer bara kod och detaljer som du antagligen inte vill läsa.","pinned":false,"hidden":false,"mode":"md"},{"id":221,"value":"#### Imports","pinned":false,"hidden":false,"mode":"md"},{"id":26,"value":"jstat = require('jstat')","pinned":false,"hidden":false,"mode":"ojs"},{"id":223,"value":"#### Data","pinned":false,"hidden":false,"mode":"md"},{"id":17,"value":"geompdf = {\n const x = d3.range(1, (1/params[0]) + 3*Math.sqrt(((1-params[0])/params[0]^2)), 1);\n const data = x.map(x => ({x: x, pdf: jstat.negbin.pdf(x-1, 1, params[0])}));\n return data\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":19,"value":"geomcdf = jstat.negbin.cdf(params[1]-1, 1, params[0]);","pinned":false,"hidden":false,"mode":"ojs"},{"id":229,"value":"#### Style","pinned":false,"hidden":false,"mode":"md"},{"id":202,"value":"","pinned":false,"hidden":false,"mode":"html"},{"id":58,"value":"viewof md_colour = Inputs.color({label: \"Highlight color cells\", value: \"#F5F5DC\"})","pinned":false,"hidden":false,"mode":"ojs"},{"id":740,"value":"import {Plot} from \"@mkfreeman/plot-tooltip\"","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W31","stdlib":"1","titling":"auto"}