**Answer:**

**a)** The expected arrival time is 2.25 minutes.

**b) **25.88% probability that an elevator arrives in less than 1.1 minutes

**Step-by-step 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 lower than x is given by the following formula.

The expected value of the uniform distribution is given by:

**The arrival time of an elevator in a 12-story dormitory is equally likely at any time range during the next 4.5 minutes. **

This means that

**a. Calculate the expected arrival time. (Round your answer to 2 decimal place.) **

The expected arrival time is 2.25 minutes.

**b. What is the probability that an elevator arrives in less than 1.1 minutes**

25.88% probability that an elevator arrives in less than 1.1 minutes