Two key navigation guidance units that will be packaged together for Boeing’s new 1077 have been subjected to repeated testing. Unit Y functioned properly in 96% of the tests. Unit Z functioned properly in 88% of the tests. Curiously, in 90% of the tests in which Unit Y failed, Unit Z also failed.
a. How likely is it that both units fail?
b. Construct a joint probability table for this situation.
c. If Unit Z functions properly, how likely is it that Unit Y will function properly?