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The heights of trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet. What is the probability that

The heights of trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet.

What is the probability that a randomly selected tree is between 9 and 12 feet tall?

Find the 75th percentile of the tree height distribution.

For a sample of 64 trees, state the standard deviation of the sample mean.

Suppose a sample of 64 trees is taken. Find the probability that the sample mean heights is between 9.5 and 10 feet.

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