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The diameters of apples from a certain farm followthe normal distribution with a meanof 4 inches and standard deviationof 0.4 inch. Apples can be size-sorted

The diameters of apples from a certain farm followthe normal distribution with a meanof 4

inches and standard deviationof 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 a mesh sizeof 3.5

inches. This separates out all the apples with diameters less than3.5

inches. Second, the remaining apples are rolled over a screen with mesh sizeof 4.3

inches.

During that first step, what proportion of apples have a diameter ofless than3.5

inches?

  • Round your answer to four decimal places.

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