Four years ago, Victor purchased a very reliable automobile (as rated by a reputable consumer advocacy publication). His warranty has just expired, but the manufacturer has just offered him a 5-year, bumper-to-bumper warranty extension. The warranty costs $4,500. Victor constructs the following probability distribution with respect to anticipated costs if he chooses not to purchase the extended warranty.

Cost ($) Probability
800 0.16
2400 0.39
5400 0.25
11700 0.20
Calculate Victor's expected cost.