Poisson Distribution is a statistical formula used to calculate the probability of a given number of events occurring in a fixed interval of time or space. It is used to predict the probability of rare events occurring when the average rate of occurrence is known. To calculate Poisson Distribution, the average rate of occurrence (μ) and the number of events (x) are used in the equation P(x) = e-(μ) (μ)x / x! where e is Euler’s number (2.71828).
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.axis–y .domain {
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p {
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#words {
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#words_calc {
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P(X = 3): 0.14037
P(X < 3): 0.12465
P(X ≤ 3): 0.26503
P(X > 3): 0.73497
P(X ≥ 3): 0.87535
function calc() {
//get input values
var x = +document.getElementById(‘x’).value;
var mean = +document.getElementById(‘mean’).value;
//calculate SE
var exactP = jStat.poisson.pdf(x, mean);
var lessP = jStat.poisson.cdf(x-1, mean);
var lessEP = jStat.poisson.cdf(x, mean);
var greatP = 1-jStat.poisson.cdf(x, mean);
var greatEP = 1-jStat.poisson.cdf(x-1, mean);
//output probabilities
document.getElementById(‘exactP’).innerHTML = exactP.toFixed(5);
document.getElementById(‘lessP’).innerHTML = lessP.toFixed(5);
document.getElementById(‘lessEP’).innerHTML = lessEP.toFixed(5);
document.getElementById(‘greatP’).innerHTML = greatP.toFixed(5);
document.getElementById(‘greatEP’).innerHTML = greatEP.toFixed(5);
document.getElementById(‘x1’).innerHTML = x;
document.getElementById(‘x2’).innerHTML = x;
document.getElementById(‘x3’).innerHTML = x;
document.getElementById(‘x4’).innerHTML = x;
document.getElementById(‘x5’).innerHTML = x;
}