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.

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%