Continous uniform distribution

Question

The duration of a professor's class has a continuous uniform distribution between 50.0 minutes and 52.0 minutes. If one class is randomly selected, find the probability that the professor's class duration is between 50.1 and 50.2 minutes.

P(50.1<X<50.2)=

Answer 1

The probability is the area of the distribution for the range divided by the area of the distribution for the entire distribution. In this case, the areas are easy to work out because the distribution is a rectangle of some height, h, and a width equal to the difference in times:

P = (h*.1)/(h*2) = .05

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