Mathematics, 07.05.2020 02:11 kiarrafryer

5. One piece of PVC pipe is to be inserted inside another piece. The overlap should be normally distributed with mean 1 inch and sd 0.1. The lengths of the pieces are independent and normally distributed: for piece 1 the mean is 20 and sd 0.5 inches; for piece 2 the mean is 15 and sd 0.4 inches. Find the probability that the total length after insertion is between 34.5 and 35 inches.

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