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(17) 1. Consider a random experiment that consists of throwing a dart at a triangle-shaped target with vertices at the (x, y) positions (-1.5, -0.5), (-1.5, 3.0), and (2.0, -0.5), resulting in outcome (x, y). Assume that the dart always hits the target and that the probability distribution is uniform over the surface of the target. Let the bivariate probability density function (pdf) be fxY(x, y) and the bivariate cumulative distribution function (CDF) be FxY(x, y). a. Sketch a bird's-eye view, looking straight down from above, showing the borders and "footprint" of pdf fxy(x, y) on the x-y plane. b. Find the value of pdf fxY(x, y) for x = 0, y = 0. Explain your work. c. Find the value of CDF Fxv(x, y) for x = 0, y = 0. Explain your work.A.5 GAUSSIAN DERIVATIVES AND INTEGRALS 627 Pxxz (X1, *2) = (112) 270102\\/1 - p2 X1- HI-2p0 In - 1x xexp 2(1 - 3) L 01 01 As we can see from Fig. A.4, p(x1. x2) is a hill-shaped surface over the xx2 of the kill(2) 1. A "closed" population has no change in: a) births b) deaths c) immigration d) emigration e) all of the above (2) 2 A modern piece of equipment that wildlife managers use to mark the latitude and longitude location of an animal in the field relies on satellite triangulation and is called a: a) geographic information system b) map and compass orienteering unit c) global positioning system d) cartographic mapping application e) satellite remote sensing system (2) 3. Wildlife habitat data on a large scale can be obtained using remote sensing of the earth's surface cover and stored in a spatial database called a a) relational databasel b) habitat matrix geographic information system d) global positioning system cyberspatial model(2) 10. The "trapping web" and "variable circular plot" methods are both analyzed in program Distance as a point sample where animals further from the point are weighted less in the calculation of density than nearby animals because: a) animals can not be detected far from the point b) the areas of concentric rings increases with radial distance from the point c) the truncation function discounts animals that are far away animals fly or run away from the point because the observer is there e) a bird in the hand is worth two in the bush (2) 11. Population estimation programs that use data collected from transects utilize statistical procedures to fit a to the data in order to account for animals that were to distant from the transect to be detected a) variable circular plot b) probability density function c) change in ratio frequency index e) chi-square contingency table
