In: Statistics and Probability
(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.