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The normal, or Gaussian, distribution has a density function that is a symmetrical bell-shaped curve. It is one of the most important distributions in statistics. Use the [normality-assumption] tag for asking about testing for normality.

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How to compare 4 different normal random distributions

First you need to set a threshold to decide what probability is enough to declare a winner. Say you fix this to 0.5, then an area $A_i$ is "taller" than $A_j$ if $P(A_i>A_j) > 0.5$. You just do a pai …
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