Question

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes. What is the probability that the mail arrival time is more than 25 minutes on a given day? Answer: (Round to 2 decimal places.)

Answer 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 higher than x is given by the following formula.

`P(X > x) = (b - x)/(b-a)`

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes.

This means that
`a = 5, b = 45`.

What is the probability that the mail arrival time is more than 25 minutes on a given day?

`P(X > 25) = (45 - 25)/(45 - 5) = 0.5`

So the probability that the mail arrival time is more than 25 minutes on a given day is 0.5.