5. [ll] pts) One piece of'PVC pipe is to be inserted inside another piece. The length ofthe rst piece is normallv distributed with mean value 2t] inches and standard deviation {)5 in. The length of the second piece is a normal random variable 1with mean and standard deviation [5 in. and .4 in.1 respectively. The amount of overlap is normally distributed with mean value 1 in. and standard deviation [1.] in. Assuming that the lengths and amount of overlap are independent of one another, what is the probabilityr that the total length alter insertion is between 34.5 in. and 35 inches? I5. [ll] pts) Determine the covariance and correlation for the joint probability density Function [xy(x,}r 2 211" over the range [l s: x and I] {I 3"