Calculate the probability that the gold component is neither sufficiently pure nor sufficiently conductive to be shipped. (ii) Are the two events – of the gold component being sufficiently pure, and of the gold being sufficiently conductive – mutually exclusive or independent or neither? Explain your answer. (iii) If a gold component is deemed to be sufficiently conductive to be shipped, what is the probability that it is sufficiently pure to be shipped?
The quality of a manufactured gold component is assessed for both its purity and its conductivity
prior to being shipped. Investigations have shown that the
sufficient purity to be shipped is 90%, and the probability that the gold component has sufficient
conductivity to be shipped is 80%. The probability that the gold component is both sufficiently
pure and sufficiently conductive to be shipped is 75%.
(i) Calculate the probability that the gold component is neither sufficiently pure nor
sufficiently conductive to be shipped.
(ii) Are the two
being sufficiently conductive – mutually exclusive or independent or neither? Explain your
answer.
(iii) If a gold component is deemed to be sufficiently conductive to be shipped, what is
the probability that it is sufficiently pure to be shipped?
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