Defend or refute each of the following statements:
a. Dependent events are always mutually exclusive.
b. Mutually exclusive events are always dependent.
c. Independent events are always mutually exclusive
For two events A and B, P(A) = .4, P(B) = .2, and P(A | B) = .1.
a. Find P(A | B).
b. Find P(B | A).
c. Are A and B independent events?
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