https://codepen.io/tatsuyayamamoto/pen/oNqYMJj

getNormalDistributionRandom.js

const getDecimalPointRound = (value, decimalPointPlace) => {
  const digit = Math.pow(10, decimalPointPlace);
    return Math.round(value * digit) / digit;
}

const getNonZeroRandom = () => {
  let r = 0;
  while (r === 0) {
    r = Math.random();
  }
  return r;
};

const getNormalDistributionRandom = (sd, mean, skew = 0) => {
  const random1 = getNonZeroRandom();
  const random2 = getNonZeroRandom();
  const r = Math.sqrt(-2.0 * Math.log(random1));
  const theta = 2.0 * Math.PI * random2;
  const sndRandom1 = r * Math.cos(theta);
  
  if(skew === 0){
    return sndRandom1 * sd + mean;
  }
  
  const sndRandom2 = r * Math.sin(theta);
  const X = skew / Math.sqrt(1 + skew * skew);
  const skewedDist = X * sndRandom1 + Math.sqrt(1 - X * X) * sndRandom2;
  return (0 <= sndRandom1? 1 : -1) * skewedDist * sd + mean;
}