Let X
X
represent the full height of a certain species of tree. Assume that
X
X
has a normal probability distribution with a mean of 55.9 ft and a standard deviation of 5.8 ft.

A tree of this type grows in my backyard, and it stands 62.9 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

P
(
X
<
62.9
)
P
(
X
<
62.9
)
=

My neighbor also has a tree of this type growing in her backyard, but hers stands 72.1 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.

P
(
X
>
72.1
)
P
(
X
>
72.1
)
=

Enter your answers as decimals accurate to 4 decimal places.