A machine has four components, A, B, C, and D, set up in such a manner that all four
parts must work for the machine to work properly. Assume the probability of one part
working does not depend on the functionality of any of the other parts. Also assume
that the probabilities of the individual parts working are P(A)=P(B) =0.97, P(C) =
0.99, and P(D)=0.93. Find the probability that the machine works properly. Round
to the nearest ten-thousandth.
A) 0.8931
B) 0.1337
C) 0.9355
D) 0.8663
E) None of the answers