Solved: Suppose the diameter at breast height (in.) of
Chapter 4, Problem 4.43(choose chapter or problem)
Suppose the diameter at breast height (in.) of trees of a certain type is normally distributed with 8.8 and 2.8, as suggested in the article Simulating a Harvester-Forwarder Softwood Thinning (Forest Products J., May 1997: 3641). a. What is the probability that the diameter of a randomly selected tree will be at least 10 in.? Will exceed 10 in.? b. What is the probability that the diameter of a randomly selected tree will exceed 20 in.? c. What is the probability that the diameter of a randomly selected tree will be between 5 and 10 in.? d. What value c is such that the interval (8.8 c, 8.8 c) includes 98% of all diameter values? e. If four trees are independently selected, what is the probability that at least one has a diameter exceeding 10 in.? 3
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