The diameters of apples from a certain farm follow the

Last updated: 7/20/2022

The diameters of apples from a certain farm follow the normal distribution with mean 4 inches and standard deviation 0.4 inch. Apples can be size-sorted by being made to roll over mesh screens. First the apples are rolled over a screen with mesh size 3.5 inches. This separates out of all the apples with diameters less than 3.5 inches. Second, the remaining apples are rolled over a screen with mesh size 4.3 inches. During that first step, what proportion of apples have a diameter of less than 3.5 inches? Round your answer to four decimal places.