A manager of a plywood plant organized a study of the diameters of trees that are shipped to the mill. After collecting a large amount of data on diameters, he concluded that the diameter is approximately normally distributed with a mean of 14.25 inches and a standard deviation of 2.92 inches. Because of the way plywood is made, there is a certain amount of waste on each log because the peeling process leaves a core that is approximately 3 inches in diameter. For this reason, the manager feels that any log less than 10 inches in diameter is not profitable for making plywood. Based on the data collected, what is the probability that a log will be unprofitable?