Linear combinations of independent normal random variables
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A baker knows that time taken to prepare a tart is normally distributed with a mean of 10 minutes and a standard deviation of 3 minutes. The time taken to bake the tart is independent of the preparation time, and is normally distributed with a mean of 18 minutes and a standard deviation of 4 minutes, what is the probability that the tent will be ready to eat in no more than 32 minutes?
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