Find the missing portion of the corresponding cumulative distribution function: { a) x² - 2 b) 2-x c) x-0.5 d) 2(x -0.5x²) F(x) = 0, ??, 1, x < 0 0 ≤ x ≤ 1 x ≥ 1

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6. Given the density function:
a) x² - 2
b) 2-x
(2(1-x),
c) x -0.5
d) 2(x -0.5x²)
f(x) = {2(1
Find the missing portion of the corresponding cumulative distribution function:
x < 0
F(x) =
0 ≤ x < 1
x ≥ 1
0 ≤ x ≤ 1,
elsewhere.
0,
??,
1,
Transcribed Image Text:6. Given the density function: a) x² - 2 b) 2-x (2(1-x), c) x -0.5 d) 2(x -0.5x²) f(x) = {2(1 Find the missing portion of the corresponding cumulative distribution function: x < 0 F(x) = 0 ≤ x < 1 x ≥ 1 0 ≤ x ≤ 1, elsewhere. 0, ??, 1,
Expert Solution
Step 1

Given that 

Pdf of X is 

f(x) = 2(1-x)   , 0<=x<=1

            0         , otherwise 

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