The commute time to work for a particular employee follows a

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 19 minutes and a maximum time of 35 minutes.

What is the mean of this distribution?

What is the Standard Deviation?

What is the probablity that the employee\'s next commute will require less than 22.5 minutes?

What is the probability that the employee\'s next commute will require between 23 and 31 minutes?

What commute time represents the 30th percentile of this distribution?

Solution

mean for a uniform distribution is

mean=(b+a) / 2 = (35+19) / 2 =27