A bonding company want to insure a construction projects completion. If the project is cancelled due to the contractor's lack of performance, the bonding company will cover the entire expenses of $30,000, and it will pay only half of this amount if it is cancelled for any other reason.
The bonding company assigns a probability of 0.15 to the contractor's performance and 0.05 to any other reason.
If the bonding company will charge $1,000 more than its expected payment, what should be the cost [premium] of this policy?