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A company wishes to evaluate the effectiveness of a marketing campaign. Seventy five percent of all potential professors were reached in a focused advertising program. Twenty eight percent of those contacted adopted the book while 8% of the adoptions came from professors who did not receive the promotional material. Define the following events of interest:
A1 = Professor received advertising material
A2 = Professor did not receive advertising material
B1 = Professor adopts the book
B2 = Professor does not adopt the book
1. What is the probability that a professor who does not receive advertising material has not adopted the book?
A) 0.92
B) 0.08
C) 0.25
D) 1
2. What is the probability that a professor who adopts the book received the advertising material?
A) 0.913
B) 0.21
C) 0.23
D) 0.87
3. What is the probability that a professor who adopts the book has not received the advertising material?
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step by step all work shown answer and please show all calculations and how you got answer and make it very detailed all work shown please.
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