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Mathematics, 25.12.2019 02:31 sabinaschaaf10

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). a. what is the probability that the diameter of a randomly selected tree will be at least 10in.? will exceed 10in.?

b. what is the probability that the diameter of a randomly selected tree will exceed 20in?

c. what is the probability that the diameter of a randomly selected tree will be between 5 and 10in.?

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 that exceeds 10in.?

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