A lot of 1000 components contains 300 that are defective. Two components are drawn at random and
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A lot of 1000 components contains 300 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective.
a. Find P(A).
b. Find P(B|A).
c. Find P(A ∩ B).
d. Find P(Ac ∩ B).
e. Find P(B).
f. Find P(A|B).
g. Are A and B independent? Is it reasonable to treat A and B as though they were independent? Explain.
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