Suppose the diameter at breat height (in.) of tress of a certain tpye is normally distributed with μ = 8.8 and σ = 2.8, as suggested in the article "Simulating a Harvester-forwarder Softwood THinning" (Forest Products J., May 1007: 36-41). 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? 3 e. If four trees are independently selected, what is the probability that at least one has a diameter that exceeds 10in.?