Question

The lengths of a professor's classes has a continuous uniform distribution between 60.0 min and 90.0 minutes. If one such class is randomly selected, find the probability that the class length is less than 76 min.

Answer 1

0.533

Explanation:

Given that :

Class length has a Continuous uniform distribution between 60 - 90 min

Lower limit (L1) = 60

Upper limit (L2) = 90

Probability that class length is less than 76 min

P(x < 76):

(x - L1) / (L2 - L1)

(76 - 60) / (90 - 60)

16 / 30

= 0.533

P(x < 76) = 0.533