Uploaded June 2013 | Updated September 2026, 2 hours ago

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A brief introduction to the (continuous) uniform distribution. I discuss its pdf, median, mean, and variance. I also work through an example of finding a probability and a percentile. I don't do any integration in this video.

For those using R, here is the R code to find the probabilities for the examples in this video:

P(X greater than 230) where X is U(200,250):
1-punif(230,200,250)
[1] 0.4
(punif yields the area to the *left*, and here we need the area to the *right*)

20th percentile of a U(200,250) distribution:
qunif(.2,200,250)
[1] 210