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An independent television network, EM-TV, is considering either producing a pilot episode for a certain television show idea or selling the rights to the idea

An independent television network, EM-TV, is considering either producing a pilot episode for a certain television show idea or selling the rights to the idea to another company. If the pilot episode is produced, it may either be rejected or accepted by the studio producers.

The cost of producing the pilot episode is $150,000. If it is accepted by the studio producers, the pilot is estimated to be worth approximately $700,000. If the studio producers do not accept the pilot it is worthless. The probability that the pilot is accepted by the studio's producers is 40% based on historical experience. If they do not produce the pilot and sell the rights to another company, the network will make $100,000 on that deal.

EM-TV has utilized a focus group to determine if the pilot is likely to be accepted by the producers. When pilot episodes were accepted in the past, the focus group correctly predicted this event 80% of the time. When pilot episodes were not accepted, the focus group predicted that the pilot episode would be accepted 10% of the time.

What is the probability that the pilot episode will be accepted by the studio producers, when the focus group predicts that it will be accepted?

A. 0.32

B. 0.40

C. 0.54

D. 0.84

E. None of the answers are correct.

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