The diameters of Douglas firs grown at a Christmas tree farm are normally distributed with mean of 5 inches and a standard deviation of 1.5 inches. (Round your answers to four decimal places.) USE SALT (a) What proportion of the trees will have diameters between 4 and 7 inches? (b) What proportion of the trees will have diameters less than 4 inches? (c) Your Christmas tree stand will expand to a diameter of 8 inches. What proportion of the trees will not fit in your Christmas tree stand?

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The diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 5 inches and a standard deviation of 1.5 inches. (Round your answers to four decimal places.)
USE SALT
(a) What proportion of the trees will have diameters between 4 and 7 inches?
(b) What proportion of the trees will have diameters less than 4 inches?
(c) Your Christmas tree stand will expand to a diameter of 8 inches. What proportion of the trees will not fit in your Christmas tree stand?
Transcribed Image Text:The diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 5 inches and a standard deviation of 1.5 inches. (Round your answers to four decimal places.) USE SALT (a) What proportion of the trees will have diameters between 4 and 7 inches? (b) What proportion of the trees will have diameters less than 4 inches? (c) Your Christmas tree stand will expand to a diameter of 8 inches. What proportion of the trees will not fit in your Christmas tree stand?
Expert Solution
Step 1

Given information-

Population mean, µ = 5 inches

Population standard deviation, σ = 1.5 inches

Let, X be the diameters of the trees are normally distributed.

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