J l_ Suppose Alex's monthly utility bill is composed of natural gas and electricity usage. For any given month, the cost of Alex's natural gas usage, G, is distributed with mean 535 and standard deviation $12. For any given month, the cost of Alex's electricity usage, E, is distributed with mean 541 and standard deviation $11. The correlation between the cost of Alex's natural gas usage and electricity usage is p=0.5. Alex's total monthly bill is the sum of the cost of his electricity usage and natural gas usage. Determine the mean, ,uE+G, and standard deviation, aE+G, of the distribution of the total cost, E+G, of Alex's monthly bill. Give your answers in dollars. What is the mean of E+G as an integer and the standard deviation