The quality of a metal is assessed for its purity and conductivity before it is shipped. The probability that the metal is pure enough to be shipped is 90%, and probability that the metal is conductive enough is 80%. The probability that the metal is both pure and conductive enough to ship is 75%. i) calculate probability that the metal is neither pure enough nor conductive enough to be shipped. ii) are the two events *the metal being pure enough, and the metal being conductive enough* mutually exclusive or indepedent or neither? please explain breifly iii) if the metal is conductive enough to ship, what is probability it is also pure enough to ship

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The quality of a metal is assessed for its purity and conductivity before it is shipped. The probability that the metal is pure enough to be shipped is 90%, and probability that the metal is conductive enough is 80%. The probability that the metal is both pure and conductive enough to ship is 75%.

i) calculate probability that the metal is neither pure enough nor conductive enough to be shipped.

ii) are the two events *the metal being pure enough, and the metal being conductive enough* mutually exclusive or indepedent or neither? please explain breifly

iii) if the metal is conductive enough to ship, what is probability it is also pure enough to ship?

 

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