SOLUTION: A manufacturer knows that 6​% of the 200 computer monitors it has in stock are defective. Three monitors are randomly selected from their stock. Find the probabilities for pa

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Question 1109991: A manufacturer knows that 6​% of the 200 computer monitors it has in stock are defective. Three monitors are randomly selected from their stock. Find the probabilities for parts​ (a) through​ (e) below.
a.​ P(first monitor is ​defective)
​(Round to the nearest tenth as​ needed.)
b.​ P(second is defective​ | first is ​defective)
​(Round to the nearest tenth as​ needed.)
c.​ P(second is not defective​ | first is ​defective)
​(Round to the nearest tenth as​ needed.)
d.​ P(second is defective​ | first is not ​defective)
​(Round to the nearest tenth as​ needed.)
e. ​P(third is defective​ | first two are ​defective)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a. 0.06
b. given first is defective (12/200), the second's being defective is 11/199 or 0.055)
c. given first is defective, probability second is not defective is 188/199 or 0.945.
d, This would be 188/200*12/199 or 0.0567
e. Given first two are defective, 10 left and 198 choices, so probability is 10/198 or 0.0505