The annual gross earnings of a certain rock singer is a random variable with an expected value of $200,000 and a standard deviation of $50,000. The singer manager receives 15 percent of this amount....

The annual gross earnings of a certain rock singer is a random variable with an expected value of $200,000 and a standard deviation of $50,000. The singer manager receives 15 percent of this amount. Determine the expected value and standard deviation of the amount received by the manager.