5.5-7. Suppose that the distribution of the weight of a prepackaged "1-pound bag" of carrots is $N\left(1.18,0.07^2\right)$ and the distribution of the weight of a prepackaged "3-pound bag" of carrots is $N\left(3.22,0.09^2\right)$. Selecting bags at random, find the probability that the sum of three 1-pound bags exceeds the weight of one 3-pound bag. HInT: First determine the distribution of $Y$, the sum of the three, and then compute $P(Y>W)$, where $W$ is the weight of the 3-pound bag.

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