In: Statistics and Probability
The lengths of a professor's classes have 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 between 51.3 and 51.5 min. P(51.3 < X < 51.5) =
Solution:
Given: The lengths of a professor's classes have a continuous uniform distribution between 50.0 min and 52.0 min.
That is X ~ Uniform ( a=50.0 , b = 52.0)
then probability mass function of X is :
We have to find: P(51.3 < X < 51.5) = ................?
thus
We can find this probability directly by using cumulative distribution function of uniform distribution: