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Bayes theorem. A product is marketed online. Out of all potential customers who viewed the online...

Bayes theorem. A product is marketed online. Out of all potential customers who viewed the online ad, 45% are men and 55% are women. 10% of all who viewed the ad made a purchase.
(a) If 40% of those who made a purchase are women, what is the probability that a women who viewed the ad would make a purchase?
(b) If 40% of those who made a purchase are women, what is the probability that a man who viewed the ad would not make a purchase?

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