It's the winter of 1965. Norman Fishbein is enduring not only a cold winter but also the usual torments and annoyances from his two older brothers. When Norman wins a thousand dollars in the "Count-the-Doozy-Dots Contest," Norman decides what his family really needs is a trip to Miami Beach. They stay in luxury at the Royal Palm Hotel, owned by the mysterious millionaire Herbert Spitzer. One day at the pool Norman spots an old man in a black suit, who his father tells him is a once-famous comedian named Mort Ziff. A chance meeting begins an unusual friendship between Norman and the old comedian. But after hearing that Mort Ziff has been fired, to be replaced by "The Centipedes," a pop group imitating the Beatles, Norman takes matters into his own hands, resolving to save Mort's job and in the process, coming to realize an inner strength he didn't know he had.