Q5- Two machines A and B produce 20% and 80% respectively of the production of a manufacture. It is known that the probability that machine A produce defective component is 0.01 while the probability that machine B prod 4 J defective component is 0.05. If a component is selected at random fro production of this manufacture and is found to be defective, find the probability that it was made by machine B. 3

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Q5- Two machines A and B produce 20% and 80% respectively of the production of
a manufacture. It is known that the probability that machine A produce
defective component is 0.01 while the probability that machine B prod
defective component is 0.05. If a component is selected at random fro 4 la jo 4
production of this manufacture and is found to be defective, find the probability
that it was made by machine B.
Q6- Box A contain 3 red marbles and 1 white marble. Box B has 1 red
marble and 1 white marble. Three marbles are chosen at random without
replacement from the box A and placed in the box B. Then 2 marbles
are chosen at random and without replacement from the box B. If we know both
marbles chosen from the box B are red what is the probability that three red
marbles come from box A to box B?
Transcribed Image Text:Q5- Two machines A and B produce 20% and 80% respectively of the production of a manufacture. It is known that the probability that machine A produce defective component is 0.01 while the probability that machine B prod defective component is 0.05. If a component is selected at random fro 4 la jo 4 production of this manufacture and is found to be defective, find the probability that it was made by machine B. Q6- Box A contain 3 red marbles and 1 white marble. Box B has 1 red marble and 1 white marble. Three marbles are chosen at random without replacement from the box A and placed in the box B. Then 2 marbles are chosen at random and without replacement from the box B. If we know both marbles chosen from the box B are red what is the probability that three red marbles come from box A to box B?
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