Question

(Yates 1.2.2) An integrated circuit factory has three machines X,Y, and Z. Test one integrated circuit produced by each machine. Either a circuit is acceptable (a) or it fails (f). An observation is a sequence of three test results corresponding to the circuits from machine 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 this experiment? (b) What are the elements of the sets: [circuit from Z fails} Zp = circuit from X is acceptable ХА (c) Are ZF and XA mutually exclusive? (Explain) (d) Are Zpand XA collectively exhaustive? (Explain) (e) What are the elements of the sets: C {more than one circuit is acceptable} at least two circuits fail} D = (f) Are C and D mutually exclusive? (Explain) (14 pts) (g) Are C and D collectively exhaustive? (Explain)

Answer 1

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