Two machines at a factory are supposed to produce 50 mm nails. The lengths of nails from Machine A are normally distributed with a mean of 50 mm and a standard deviation of 2 mm while Machine B has been calibrated to produce nails according to a normal distribution with a mean length of 49.5 mm and standard deviation 1 mm. Two nails, one from Machine A and another from Machine B are randomly selected. What is the probability that a nail produced by Machine B is longer than one produced by Machine A?

MATLAB: An Introduction with Applications
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Two machines at a factory are supposed to produce 50 mm nails. The lengths of nails from Machine A are normally distributed with a mean of 50 mm and a standard deviation of 2 mm while Machine B has been

calibrated to produce nails according to a normal distribution with a mean length of 49.5 mm and standard deviation 1 mm. Two nails, one from Machine A and another from Machine B are randomly selected. What is the probability that a nail produced by Machine B is longer than one produced by Machine A?

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