From the data collected in my past Statistics classes, the completion times of a given midterm are uniformly distributed with times between 35.1 minutes and 58.5 minutes.
(mean=46.8 and standard deviation=6.75 minutes).

What is the probability that the completion time of one randomly selected student will be between 45 and 55 minutes?

Question

From the data collected in my past Statistics classes, the completion times of a given midterm are uniformly distributed with times between 35.1 minutes and 58.5 minutes. 
(mean=46.8 and standard deviation=6.75 minutes).

What is the probability that the completion time of one randomly selected student will be between 45 and 55 minutes?

anonymous · Answer

its important to realize that it is a uniform distribution. So probability of a student between 45 and 55 is irrelevant of mean and standard deviation.

Probability will be (55-45)/(58.5-35.1)
=0.427