Χ if 0 < x ≤ 45 1350 f(x) = 60-x if 45 < x ≤ 60 450 0

DHL usually gives its customer a 60-minute window in which it expects home deliveries to be delivered. An independent consultant estimates that the final delivery time within the window is a delivery that follows the following condensation function:

a. Draw the density function of the event. 

b. What is the expected value of the transaction?

c. What is the variance of the event?