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A car manufacturer is concerned about poor customer satisfaction at one of its dealerships. The management decides to evaluate the satisfaction surveys of its next 50 customers. The dealer will be fined if the number of customers who report favorably is between 39 and 43. The dealership will be dissolved if fewer than 39 report favorably. It is known that 72% of the dealerships customers report favorably on satisfaction surveys. Use Table 1.
a. What is the probability that the dealer will be fined? (Round your intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)
b. What is the probability that the dealership will be dissolved? (Round your intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)
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