The local grocery store has sorted apples by size. The distribution is approximately normal. The large apples have a mean diamet
er of 10 cm with a standard deviation equal to 0.5 cm. In a bin of 100 large apples, how many can be expected to have a diameter greater than 11.5 cm, three standard deviations above the mean?
Approximately 0.2% of the apples will be more than three standard deviations above the mean size. In a bin of 100 apples, 0.2% of 100=0.2% apples, this rounds down to zero apples that size or larger. (In a bin of 500 apples, there could be one apple of that size.)
