Final answer:
The probability that a randomly selected man between the ages of 55 and 64 does not have this disease is 0.58.
Step-by-step explanation:
The probability that a randomly selected man between the ages of 55 and 64 does not have the disease can be found by subtracting the probability that he does have the disease from 1. According to the given information, the probability that a man between the ages of 55 and 64 has the disease is 0.42. Therefore, the probability that he does not have the disease is 1 - 0.42 = 0.58.