Assume that the height of a type of tree has a normal probability distribution with a mean of 55.2 ft and a standard deviation of 5.7 ft. A tree of this type grows in my backyard and it stands 39.8...

Assume that the height of a type of tree has a normal probability distribution with a mean of 55.2 ft and a standard deviation of 5.7 ft.


A tree of this type grows in my backyard and it stands 39.8 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.






My neighbor also has a tree of this type growing in her backyard, but hers stands 68.3 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.






Enter your answers as decimals accurate to 3 decimal places.