Question

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 between 50.1 and 51.1 min. P(50.1 < X < 51.1) =

Answer 1

P(50.1 < X < 51.1) = 0.5

Explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula:

`P(c < X < d) = (d - c)/(b - a)`

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that
`a = 50, b = 52`

So

`P(50.1 < X < 51.1) = (51.1 - 50.1)/(52 - 50) = 0.5`