Question

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. if one such class is randomly selected, find the probability that the class length is less than 50.6 min.

Answer 1

The distribution is uniform for 50 ≤ x ≤ 52.
where x =  minutes per class.

The probability P(x < 50.6) is the shaded portion of the distribution.
Its value is
(50.6 - 50)/(52 - 50) = 0.3

Answer:
The probability is  0.3 or 30%