(0.2) (0.1) (1.1) (-2,0) (-1,0) (0.0) (1.0) (2.0) I (-1.-1) [(0.-1) (1.-1) (0.-2) Figure 5.4: Grid for example 5.4 Example 5.4 Consider the set of points in the grid shown in Figure 5.4. These are the points in set G defined as G - {(r. y) r. y € Z. + y < 2}. Suppose that we pick a point (X.Y) from this grid completely at random. Thus, each point has a probability of of being chosen. a. Find the joint and marginal PMFS of X and Y. b. Find the conditional PMF of X given Y = 1. C. Are X and Y independent?

MG.1.3 73. City planner Regina Kane is designing a new plaza for the city. Her plan is organized on a coordinate plane, as shown and described below. 74. The support: consists run par: Hexagonal fountain: centered at (0, 0), two sides of length 2 units Short rectangular benches: centered at (0, 10) and (0,-10), length 4 units Long rectangular benches: centered at (10, 0) and (-10, 0), length 8 units Triangular statue T: vertices at (5, 10), (7, 10), (7, 7) Flagpoles (shown as dots): at (-2, 10) and (2,-10), next to short benches perpen anothe the bea (0, 150 endpo shown and (1 a. y 10 10. 6. 8. 10. -10 Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (0, 10) and the adjacent flagpole onto the other short rectangular bench and flagpole a. b. A landscape architect recommends installing a triangular statue with vertices at (10, -10), (10, -8), and (7, -10). Is the triangle congruent to triangle T? Justify your answer. I. I. Propose a series of…

OneNote for Windows 10 IU A A 2) Which of the following diagrams is a reasonable graph of y = 2x-3? corr... (0,4) (1,5) A) B) (3.1) (6.2) C) 1 corr... E1 corr.. (-2,2) (-3,1) age D) page Iz 2

Exercise I.2. (a) Let n = values r (1). On the same set of axes, graph n and Her for the various r -2, -1,0, 1, 2. == (b) Graph n = (7¹) and H for r = -2,-1,0, 1, 2.