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 20 and 26. The dealership will be dissolved if fewer than 20 report favorably. It is known that 61% of the dealer's customers report favorably on satisfaction surveys.
a. What is the probability that the dealer will be fined?
b. What is the probability that the dealership will be dissolved?