The normal distribution

A shaded interval under a probability density gives an answer, not just a picture.

Interactive laboratory 03

Probability under the bell curve

Move the slider to change a symmetric interval around the mean of a standard normal distribution. The shaded area is its probability.

Lower z-score−1.96
Upper z-score1.96
Probability within interval95.0%

This is the probability for a standard normal random variable—not the probability that an unknown parameter lies inside a confidence interval.

Read the accompanying lesson →