Question: Cherry trees in a certain orchard have heights that are normally distributed with mean = 112 inches and standard deviation = 14 inches.

Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 112 inches and standard deviation σ = 14 inches.

a. What proportion of trees are more than 120 inches tall?

b. What proportion of trees are less than 100 inches tall?

c. What is the probability that a randomly chosen tree is between 90 and 100 inches tall?

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