Manufacture of a certain component requires three different machining operations performed sequentially. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 15, 30, and 20 minutes, respectively, and the standard deviations are 1, 2, and 1.5 minutes, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?