BAD 200 Final: Problem_11 (4)
6 Nov 2020
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Suppose that y1 and y2 are uniformly distributed over the triangle shaded in the accompanying diagram. a find p(y1 3/4, y2 3/4). Let and are uniformly distributed random variables on the triangular region. The triangular region is bounded by three lines, first line joined by ( 1, 0) and (0, 1), the second line joined by (0,1) and (1,0) and the third line joined by ( 1,0) and (0,1). Clearly, the third line which joins ( 1, 0) and (0, 1) is the axis, and. First line passes throw ( 1, 0) and (1, 0). By the standard formula of straight line joining two points (from co-ordinate geometry), the equation would be (this is shown as (i) in the graph). Similarly, the second line has the equation, (this is shown as (ii) in the graph). So, the region is formed by the inequalities. Suppose that and are uniformly distributed in the triangular region.
