Linear Program Data Analysis Distribution

A supplier is entering into a contract with a manufacturer to deliver a machine in no later than 8 weeks from now. Due to uncertainty in availability of parts for the machine, the supplier is not sure when it will be able to deliver the machine. Also, when the machine is delivered, there is a chance that the manufacturer will judge it as being of inferior quality. The supplier estimates the probability distribution of the time it takes to deliver the machine is given as below.

Weeks to complete Probability 0.05 0.15 CO O U 0.35 0.3 >8 0.15