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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 33 and 37. The dealership will be dissolved if fewer than 33 customers report favorably. It is known that 72% 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, "?" value to 2 decimal places, and final answer to 4 decimal places.) Probability b. What is the probability that the dealership will be dissolved? (Round intermediate calculations to at least 4 decimal places, "?" value to 2 decimal places, and final answer to 4 decimal places.) Probability At a new exhibit in the Museum of Science, people are asked to choose between 71 or 196 random draws from a machine. The machine is known to have 98 green balls and 61 red balls. After each draw, the color of the ball is noted and the ball is put back for the next draw. You win a prize if more than 70% of the draws result in a green ball. [You may find it useful to reference the z table.] a. Calculate the probability of getting more than 70% green balls. (Round your intermediate proportion values and "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability 71 196 A small hair salon in Denver, Colorado, averages about 40 customers on weekdays with a standard deviation of 12. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $4 discount on 6 consecutive weekdays, She reports that her strategy has worked since the sample mean of customers during this 6 weekday period jumps to 50. [You may find it useful to reference the z table.] a. What is the probability to get a sample average of 50 or more customers if the manager had not offered the discount? (Round "?" value to 2 decimal places, and final answer to 4 decimal places.) Probability