Question: A machine part is assembled by fastening two components of type A and three components of type B end to end. The lengths of components

A machine part is assembled by fastening two components of type A and three components of type B end to end. The lengths of components of type A in mm are independent N(37.0, 0.49) random variables, and the lengths of components of type B in mm are independent N(24.0, 0.09) random variables. What is the probability that a machine part has a length between 144 and 147 mm?

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