Please let me know of any errors/wrong logic
f(x) = { |x| for -1 < x <=1 , 0 elsewhere
A) Determine Cumulative Distributin Function...
F(x) = { 0 for x < -1 , -0.5(x^2) for -1 <= x < 0 , 0.5(x^2) for 0 <= x <= 1, 1 for x >1
Mr F says: There are multiple obvious errors with this answer. According to this: 1. F(0) = 0 ....? Surely F(0) = 0.5. 2. F(x) < 0 for which is obviously wrong. 3. F(1) = 0.5 and so your cdf is not continuous. B) F(-0.25)
(-0.5)(-0.25)^2 = -0.03125
I thought that it should yield a positive value...
C) Pr(-0.25 <= X <= 0.5)
F(B) - F(A) = F(0.5) - F(-0.25) = (0.5)(0.5)^2 - (-0.5)(-0.25)^2 = 0.4375