31:[] 2f:{"title":"Bernoullifördelningen","cells":[{"id":38,"value":"# Bernoullifördelningen","pinned":false,"hidden":false,"mode":"md"},{"id":824,"value":"textdist = md`

${tex`X\\sim \\operatorname{Bern}(p)`}, för ${tex`X \\in \\{0,1\\}`}`","pinned":false,"hidden":false,"mode":"ojs"},{"id":496,"value":"### Sannolikhetsfunktion och moment","pinned":false,"hidden":false,"mode":"md"},{"id":118,"value":"viewof p = Inputs.range([0, 1], {value: 0.5, step: 0.01, label: tex`p`})\n","pinned":false,"hidden":false,"mode":"ojs"},{"id":899,"value":"momentstext = tex`\\text{Om } X \\sim \\operatorname{Bern}(${p}) \\text{ så gälller att } `","pinned":false,"hidden":false,"mode":"ojs"},{"id":902,"value":"moments = tex`\n\\begin{aligned}\n&E( X) =p = ${p} \\\\[1em]\n&Var( X) = p(1-p) = ${(p*(1-p)).toPrecision(3)} \\\\[1em]\n\\end{aligned}\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":305,"value":"plt_pdf = Plot.plot({\n x: {\n label: \"x\",\n axis: true,\n domain: [-0.5,1.5],\n ticks: [0,1],\n tickFormat: \".0\"\n },\n y: {\n label: \"P(X=x)\",\n domain: [0, 1.05]\n },\n marks: [\n Plot.ruleY([0]),\n Plot.ruleX([-0.5]),\n Plot.ruleX([{x: 0, y: 1-p},{x: 1, y: p}], {x: \"x\", y: \"y\", stroke: \"steelblue\", strokeWidth: 2}), \n Plot.dot([{x: 0, y: 1-p},{x: 1, y: p}], {x: \"x\", y: \"y\", fill: \"steelblue\", r: 5}),\n Plot.text([{x: 0, y: 1-p},{x: 1, y: p}], {x: \"x\", y: \"y\", text: \"y\", dy: -15})\n ]\n })","pinned":false,"hidden":false,"mode":"ojs"},{"id":109,"value":"
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\n\n---\n## 🙈 Appendix 🙈\n\nJust some implementation details below here that you probably don't want to read.","pinned":false,"hidden":false,"mode":"md"},{"id":229,"value":"#### Style","pinned":false,"hidden":false,"mode":"md"},{"id":202,"value":"","pinned":false,"hidden":false,"mode":"html"},{"id":58,"value":"viewof md_colour = Inputs.color({label: \"Highlight color cells\", value: \"#F5F5DC\"})","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W31","stdlib":"1","titling":"auto"}