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 40 customers. The dealer will be fined if the number of customers who report favorably is between 26 and 28. The dealership will be dissolved if fewer than 26 customers report favorably. It is known that 61% of the dealer’s customers report favorably on satisfaction surveys. [You may find it useful to reference the z table.] a. What is the probability that the dealer will be fined? (Round intermediate calculations to at least 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 intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)
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 40 customers. The dealer will be fined if the number of customers who report favorably is between 26 and 28. The dealership will be dissolved if fewer than 26 customers report favorably. It is known that 61% of the dealer’s customers report favorably on satisfaction surveys. [You may find it useful to reference the z table.]
a. What is the probability that the dealer will be fined? (Round intermediate calculations to at least 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 intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)
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