One piece of pvc pipe is to be inserted inside another piece. the length of the first piece is normally distributed with mean value 19 in. and standard deviation 0.6 in. the length of the second piece is a normal random variable with mean and standard deviation 17 in. and 0.5 in., respectively. the amount of overlap is normally distributed with mean value 1 in. and standard deviation 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 i g