Question

The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and55.5 min. If one such class is randomly selected, find the probability that the class length is morethan 51.1 min.P(X> 51.1)= ?

Answer 1

We have the following:

$55.5-p(55.5-49.2)=51.1$

Now, we solve for the value p, that is:

$p(6.3)=0.4\Rightarrow p=0.6984126984$

From this, we have that the probability would be of 0.7%.