A rock concert producer has scheduled an outdoor concert for Saturday, March 8. If it does not rain, the producer stands to make a $20,000 profit from the concert.If it does rain, the producer will be forced to cancel the concert and will lose $12,000 (rock star's fee, advertising costs, stadium rental, etc.)

The producer has learned from the National Weather Service that the probability of rain on March 8 is 0.4.

1. Write a probability distribution that represents the producer's profit.
2. Find and interpret the producer's "expected profit".