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Density
Without going into detail here, continuous random variables have PDF‟s with area between the
function and the horizontal axis equal to 1. Clearly, densities will have to be positive, as it is not
possible to have negative probabilities.
As an example, a distribution might look like this:
1.2
1
0.8
0.6
0.4
0.2
0
0 1 2
Random Variable Values
Practically speaking, it appears to be most probable that the random variable will take on a value
around 1. It is less likely that the random variable will take on values close to 0 or close to 2.
This might be handy in situations where such criteria is desired.
Notice that the area is also 1. If you divide the triangle into 2 and use the area of a triangle
formula . /:
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