uniform

index.css

‎‎​

index.html

<h1>[Statistics] Min of two uniform random variables: Google [Medium]</h1>
<div>Say we have X ~ Uniform(0, 1) and Y ~ Uniform(0, 1). What is the expected value of the minimum of X and Y?</div>
<div>
	<input id="ATTEMPTS" />
</div>
<div id="result">
	<ol id="results">

	</ol>
</div>

index.js

const ATTEMPTS = 1;
document.getElementById("ATTEMPTS").addEventListener("keydown", function(){
	calculate(
		parseInt(this.value),
		Math.random,
		Math.random
	)
}, false);


var calculate = function (attempts, dist_x, dist_y) {
	var X = 0
	var Y = 0
	var results = []
	var sum = 0;

	for(var i=0; i <= attempts; i++) {
		X = Math.random();
		Y = Math.random();
		results[i] = Math.min(X,Y);
		sum += results[i];
		document.getElementById('results').innerHTML = "";
		document.getElementById('results').appendChild((function(r){
			r.appendChild(document.createTextNode(ATTEMPTS+X+" | "+Y+" | " + sum));
			return r;
		})(document.createElement('li')));
	}

}

playground.json

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