Prove that if the joint caf of X and 4 satisfies". Fx₁y (x,y) = Fx (x) Fy (y) ху then for any pair of intervals (a, b), cc, ds Pla≤x≤b; CEYEd) = P(a ≤x≤ b)P ((EYEd)
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- prove with a table if x → y then _xor y = yWhere are the points of discontinuity and what type are they?Let S = (0, x), T = (-∞, 2], and W = [-4, 2). For each intersection or union, choose the correct notation for the resulting interval from the list below. (a) TnW = Choose v (b) SUT = Choose v (c) SnW = Choose v (d) SNT = Choose v C = [-4, 2) F = (-0, 2] A = (0, 2] B= (0, 2) D = (-00, 0) E = [-4, 0)
- Gruphically Convolue the fellowiny two_Signaly, to x(t)f 2 time time 2ols - Nome: Dater 1. x]=x+2x-x-2 2. x)-x*-2x-8 Rel. Max Rel. Min Rel. Mox Rel Min: Abs. Max. Abs. Min Abs. Max. Abs.Min Inc. Dec: Inc: Dec: Rocts y nt: Domain: Ronge (-1.54, 0.65) (.21, -2.11) 11 -9 4. x)-x-2x-4x +8 3. fx]--x'- 4x + 4x Rel. Max Rel Min Rel. Max Rel. Min. Abs. Max: Abs. Min Abs. Max: Abs. Min: Inc: Dec: Dec: Inc: y-nt Rocts: Domain: Ronge (3.1. 21.05) (-67, 9.5) -a48, -0.9)***BELOW ARE TWO DIFFERENT QUESTIONS, PLEASE SOLVE EACH SEPARATELY AND SHARE ANSWERS FOR BOTH. NOTE: PLEASE MARK EACH ANSWER WITH THEIR QUESTION NUMBER.*** Q3) For T (x,y,z) = (2x + y, x – y) find: a) The image of v = (2,1,4) b) The preimage of w = (-1,2) ----------------------------------------------------------------------------------------------------------------------------------------------------------- Q4) Given A =1 -2 1 find the Kernel and range of A 0 2 1