1. A square with vertices (0,2) (2,0) (0,-2) (-2,0)
2. A triangle with vertices (0,2) (1,0) (-2,0)
3. A rectangle with vertices (0,2) (2,1) (1,-1) (-1,0)
Find the density function of the x coordinate
Answer:
1. f(x) = (2 - IXI) / 4 Elsewhere f(x) = 0
2. f(x) = [2(1-x) dx] / 3 Elsewhere f(x) = 0
我吾知道點計出來
更新1:
Sorry the answer for Q2 should be: If -2 < x <0 then f(x) = (2+x)/3 If 0<1 then f(x) = (2-2x)/3 Elsewhere f(x) = 0 There's no answer for Q3
更新2:
If I intergrate the area, isn't it equal to volume? why is it equal to f(x)? why don't we differentiate the area to obtain f(x)? I can't really get how to find the density function. Can you use Q1 to explain further? Thanks a lot. I really appreciate for your help.
