Suppose that trees are distributed in a forest according to a two-dimensional poisson process with parameter α, the expected number of trees per acre, equal to 40. (a) what is the probability that in a certain quarter-acre plot, there will be at most 15 trees? (round your answer to three decimal places.) (b) if the forest covers 70,000 acres, what is the expected number of trees in the forest? trees (c) suppose you select a point in the forest and construct a circle of radius 0.1 mile. let x = the number of trees within that circular region. what is the pmf of x? [hint: 1 sq mile = 640 acres.]

Which of the following is true for the relation f(x)=2x^2+1

Jake bakes and sell apple pies. he sells each pie for $5.75 . the materials to make the pies cost $40. the boxes jake puts the pies in cost & 12.50 total. how many pies does jake need to sell to earn a profit of $50

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.