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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