Question 1 options:

The diameters of Red Delicious apples in a certain orchard are normally distributed with a mean of 3.25 inches and a standard deviation of 0.5 inches.

a) What is the probability that a randomly selected apple in this orchard will have a diameter less than 2 inches? Report your answer to 3 decimal places.

b) What percentage of the apples in the orchard have diameters larger than 2.9 inches? Round your answer to the nearest tenth of a percent.

c. If a crate of 200 apples is selected from the orchard, approximately how many apples would you expect to have diameters greater than 2.9 inches? Report your answer to the nearest whole apple.

d) What is the probability that a randomly selected apple in this orchard will have a diameter smaller than 3.5 inches? Report your answer to 3 decimal places.

e) What is the probability that a randomly selected apple in this orchard will have a diameter between 2 inches and 3 inches? Report your answer to 3 decimal places.