George Allen has asked you to analyze his stock portfolio, which contains 10 shares of stock D and 5 shares of stock C. The joint probability distribution of the stock prices is shown in Table 4.10. Compute the mean and variance for the total value of his stock portfolio.

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Stock D Price Stock C Price $45 $50 $55 $60 S40 0.00 0.05 0.10 0.20 $50 0.00 0.00 0.05 0.10 $60 0.05 0.05 0.00 0.05 570 0.20 0.10 0.05 0.00