The cumulative distribution function, cdf, of a random variable X is given as follows: 0, x < 0 F(x)= 2x²-x4, 0≤x≤1 f(x) = 42-42² 1 1 < x OLX = 0 elsen Compute P(0.25 ≤X ≤0.75) Round your answer to 4 decimal places. SHOW WORK. W method I 0.6875 Answer value P(0.25 ≤x≤0.75) hod 2 0.75 9 (42-42³) dx = 1.25 ≤ x ≤0.75) K

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The cumulative distribution function, cdf, of a random variable X is given as
follows:
0,
x < 0
F(x) =
2x²-x4,
0≤x≤1
1
1 < x
Compute P(0.25 ≤X ≤0.75) Round your answer to 4 decimal places. SHOW
WORK.
method 1:
0.6875
Answer value
P(0.25 ≤x≤0.75)
Method 2
P(0.25 ≤ x ≤0.75)
9 (42-42³) dz
=
O
DELL
3
Fox) = 42-42²
O EXE
= 0 elsewh
Transcribed Image Text:The cumulative distribution function, cdf, of a random variable X is given as follows: 0, x < 0 F(x) = 2x²-x4, 0≤x≤1 1 1 < x Compute P(0.25 ≤X ≤0.75) Round your answer to 4 decimal places. SHOW WORK. method 1: 0.6875 Answer value P(0.25 ≤x≤0.75) Method 2 P(0.25 ≤ x ≤0.75) 9 (42-42³) dz = O DELL 3 Fox) = 42-42² O EXE = 0 elsewh
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