The random variable MMM, representing the final mass of a specialty alloy piece in grams, is defined by the relation
M=5G+2S−3L M = 5G + 2S - 3L M=5G+2S−3Lwhere GGG, SSS, and LLL are independent random variables representing the masses of gold, silver, and the mass lost during smelting respectively, with
G∼N(15,0.82)S∼N(25,1.22)L∼N(10,0.52) G \sim \mathrm{N}(15, 0.8^2) \quad S \sim \mathrm{N}(25, 1.2^2) \quad L \sim \mathrm{N}(10, 0.5^2) G∼N(15,0.82)S∼N(25,1.22)L∼N(10,0.52)Find P(M>104.8)P(M > 104.8)P(M>104.8).
