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1. In Pawnee, the price of a pound of bacon (X) varies from day to day according to normal distribution with mean $4.08 and standard deviation $0.16. The price of a dozen of eggs (Y ) also varies from day to day according to normal distribution with mean $1.94 and standard deviation $0.06. Assume the prices of a pound of bacon and a dozen of eggs are independent. 1.1. Find the probability that on a given day, the price of a pound of bacon is more than twice as expensive as a dozen of eggs. That is, find P(X > 2Y). 1.2. Ron Swanson buys 9 pounds of bacon and 7 dozens of eggs. Find the probability that he paid more than $50. That is, find P(9X + 7Y > 50)