Numerical approximations for the normal cumulative distribution function and normal quantile function The standard normal cumulative distribution function is widely used in scientific and statistical …

Jan 29, 2021 · This tutorial provides a simple introduction to the normal approximation to the binomial distribution, including a definition and example.

Oct 2, 2020 · Thankfully, the Normal Distribution allows us to approximate the probability of random variables that would otherwise be too difficult to calculate. Now, before we jump into the Normal …

Use the applet below to investigate the conditions under which the normal curve gives a close approximation to the binomial (n,p) distribution. Use the sliders to change the values of $n$ and $p$.

Jul 23, 2025 · We can use the normal approximation when: These conditions ensure the binomial distribution is not too skewed and resembles a bell-shaped normal curve. Before using the normal …

Nov 26, 2025 · "Learn about the normal approximation for your A Level maths exam. This revision note includes an explanaiton of the approximation and continuity corrections. "

As the title of this page suggests, we will now focus on using the normal distribution to approximate binomial probabilities. The Central Limit Theorem is the tool that allows us to do so.

The normal approximation approximates a probability by the area under part of a special curve, the normal curve. The appropriate part of the normal curve is found by transforming values of the …

The sample mean approximately follows the Normal distribution when n is large enough. Confidence intervals give us a way to say how sure we are that an estimate is close to the ground truth

The normal approximation may be used when computing the range of many possible successes. For instance, we may apply the normal distribution to the setting of the previous example.