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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....
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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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