Forgive me if this is a silly question, but here goes:(adsbygoogle = window.adsbygoogle || []).push({});

Say you have two unrelated distributions (A and B) with known means and standard deviations. How would you determine the probability of any single value of A being greater than any single value of B?

The easiest example I can come up with for clarification would be something like this:

Over 1000 games baseball team A scores: μ_{A}=5 runs, σ_{A}=1 runs per game.

Over 1000 games baseball team B scores: μ_{B}=4 runs, σ_{B}=2 runs per game.

What is the probability on any given day that Team A outscored Team B? Sorry if this example seems elementary, but I am far from a statistician. Thanks for the help.

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# Comparing distributions

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