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# 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 115 ft and a...

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 115 ft and a standard deviation of 5.6 ft.

A tree of this type grows in my backyard, and it stands 108.3 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X<108.3) =

My neighbor also has a tree of this type growing in her backyard, but hers stands 122.8 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.

P(X>122.8)=

Enter your answers as decimals accurate to 4 decimal places.