Question

In: Statistics and Probability

(In this problem first find the probability by using SPSS and then calculate the number of...

(In this problem first find the probability by using SPSS and then calculate the number of trees manually by using the probabilities.)

A certain variety of pine tree has a mean trunk diameter of μ=150 cm, and a standard deviation of σ=30 cm which is normally distributed. A certain section of a forest has 500 of these trees.

Find Approximately

1. how many of these trees have a diameter smaller than 120

2. how many of these trees have a diameter greater than 160

3. how many of these trees have a diameter between 130 and 160.

4. how many of these trees have a diameter between 120 and 140.

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