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 50.4 min. P(X < 50.4) =

And for this case we can use the cumulative distribution given by this formula:

And if we use this formula we got:

And then the probability that  the class length is less than 50.4 min is 0.2

Step-by-step explanation:

Let X the random variable who represent the lengths of a professor's classes, and the distribution for X is given by:

And we want to find the following probability:

And for this case we can use the cumulative distribution given by this formula:

And if we use this formula we got:

And then the probability that  the class length is less than 50.4 min is 0.2

answer: $13,622.84

step-by-step explanation: check the picture for info and stats : )