An integrated circuit factory has three machines X, Y, and Z. Test one integrated circuit produced by each machine. Either a circuit is acceptab[e (a) or it fails (f). _An observation is a sequence of three test results corresponding to the circuits from machines X, Y, and Z, respectively. For example, AAF is the observation that the circuits from X and Y pass the test and the circuit from Z fails the test (a) What are the elements of the sample space of t his experiment?
(b) What are the elements of the sets Z F = {circuit from Z fails} , XA = {circuit from X .is acceptable} .
(c) Are Z p and XA mutually exclusive?
(d) Are Zp and XA collectively exhaustive?