Question

In: Statistics and Probability

Let X represent the full height of a certain species of tree. Assume that X has...

Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 77 ft and a standard deviation of 3.5 ft. A tree of this type grows in my backyard, and it stands 65.8 feet tall.

Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X<65.8)=

My neighbor also has a tree of this type growing in her backyard, but hers stands 80.2 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.

P(X>80.2) =

Enter your answers as decimals accurate to 3 decimal places.

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