Mathematics, 24.04.2020 23:39, breanastone14

One piece of PVC pipe is to be inserted inside another piece. The length of the first piece is normally distributed with mean value 20 in. and standard deviation .5 in. The length of the second piece is a normal rv with mean and standard deviation 15 in. and .4 in., respectively. The amount of overlap is normally distributed with mean value of 1 in. and a standard deviation of 0.2 in. Assuming that the lengths and amount of overlap are independent of one another, what is the probability that the total length after insertion is between 32.65 in. and 35.35 in.?

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One piece of PVC pipe is to be inserted inside another piece. The length of the first piece is norma...