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Find the probability that on a given day

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In Pawnee, Indiana, the price of a pound of bacon, X, varies from day to day according to a normal distribution with mean of $4.12 and a standard deviation of $0.16. The price of a dozen eggs, Y , also varies from day to day according to a normal distribution with a mean of $1.94 and a standard deviation $0.06. Assume the prices of a pound of bacon and a dozen eggs are independent.

(a) Find the probability that on a given day, the price of a pound of bacon is more than twice as expensive as a dozen eggs. That is, find P(X > 2Y ).

(b) Ron Swanson needs to cook himself breakfast, so he buys 9 pounds of bacon and 7 dozen eggs. Find the probability that he paid more than $50.

Reference no: EM131705556

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