A construction engineer decides to check the correlation between the number of tardy arrivals among members of the crew and the number of "serious" flaws in workmanship discovered per day....

Problem 6 A construction engineer decides to check the correlation between the number of tardy arrivals among members of the crew and the number of "serious" flaws in workmanship discovered per day. The relative frequencies (probabilities) fxy(x, y) that result from a large number of observations are summarized in the table below, where X is the number of tardy employees and Y is the number of serious flaws. Find the correlation coefficient between X and Y. fxr (x, y) 0 1 2 3 5 A 6 0 0.05 0.03 0.01 0.01 0 0 0 X 0.02 0.10 0.25 0.16 0.06 0.02 2 0.01 0.02 0.02 0.05 0.08 0.03 0.01 3 0 0 0.01 0.02 0.01 0.02 0.01