Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with parameter (I, the expected number of trees per acre, equal to 60. (a) What is the probability that in a certain quarteriacre plot, there will be at most 14 trees? (Round your answer to three decimal places.) 0466 J (b) If the forest covers 75,000 acres, what is the expected number of trees in the forest? 4500000 J trees (c) Suppose you select a point in the forest and construct a circle of radius 0.1 mile. LetX = the number of trees within that circular region. What is the pmf of X? [Hint 1 sq mile = 640 acres] 971206.372 . 1206372" D(X) = x7