A company's marketing and accounting departments have determined that if the company markets its newly developed product, the contribution of the project to the firm's profit during the next 6 months is described by having the probabilities of 0.2, 0.5, and 0.3 of having a $5,000 loss, $10,000 gain, and $30,000 gain. what is the companies expected gain. what is the variance of the profit