A rock specimen from a particular area is randomly selected and weighed two different times. Let W denote the actual weight and X1 and X2 the two measured weights. Then X1

W E1 and X2
W E2, where E1 and E2 are the two measurement errors. Suppose that the Eis are independent of one another and of W and that V(E1)
V(E2)
2 E.

a. Express , the correlation coefficient between the two measured weights X1 and X2, in terms of 2 W, the variance of actual weight, and 2 X, the variance of measured weight.

b. Compute  when W
1 kg and E
.01 kg.