Assume that in an apple orchard the heights of the trees are normally distributed with a mean of 14 feet and a standard deviation of 3 feet. Show all work for the following problems.

1. (a)What is the probability that a randomly selected tree is at least 7 feet tall?
2. (b)What is the probability that a randomly selected tree is between 14 and 16 feet tall?
3. (c)What is the height of a tree such that 90% of the trees are expected to be shorter?
4. (d)Is it reasonable to expect that tree heights can be assumed to have a normal distribution exactly?
5. Round all answers toa-cto 4 decimal places.