55. A concert producer has scheduled an outdoor concert for next Saturday. If it does not rain, the producer expects to make $20,000 profit. If it does rain, the producer will be forced to cancel the concert and will lose $12,000. The producer has learned that the probability of rain next Saturday is 0.4. (a) Let X = amount of money the producer will either make or lose. Find the probability distribution of X. (b) Find the producer's expected profit from the concert.

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