Before the distribution of certain statistical software every fourth compact disk (CD) is tested for accuracy. The

Question:

Before the of certain statistical software every fourth compact disk (CD) is tested for accuracy. The testing process consists of running four independent programs and checking the results. The failure rate for the 4 testing programs is respectively, 0.01, 0.03, 0.02, and 0.01.
(a) What is the probability that a CD was tested and failed any test?
(b) Given that a CD was tested, what is the probability that it failed program 2 or 3?
(c) In a sample of 100, how many CDs would you expect to bo rejected?
(d) Given a CD was defective, what is the probability that it was tested?
Distribution
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