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.
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