Determine the cumulative distribution function for the random variable with the probability density function f(x) = 4 – 8x, 0 < x < 0.5. 0, x < 0 2 - 4x , 0 < x < 0.5 F(x) = 1, x > 0.5 0, x < 0 F(x) = { 4x – 4x², 0 < x < 0.5 1, x > 0.5 0, x < 0 F(x) = { 0.5x – 4x², 0 < x < 0.5 1, x > 0.5 0, x < 0 4x – 4x2 ,0 < x < o F(x) :

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
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Determine the cumulative distribution function for the random variable with the probability density function
f(x) = 4 – 8x, 0 < x < 0.5.
0, x < 0
2 - 4x , 0 < x < 0.5
F(x) =
1, x > 0.5
0, x < 0
F(x) = { 4x – 4x², 0 < x < 0.5
1, x > 0.5
0, x < 0
F(x) = { 0.5x – 4x², 0 < x < 0.5
1, x > 0.5
0, x < 0
4x – 4x2 ,0 < x < o
F(x) :
Transcribed Image Text:Determine the cumulative distribution function for the random variable with the probability density function f(x) = 4 – 8x, 0 < x < 0.5. 0, x < 0 2 - 4x , 0 < x < 0.5 F(x) = 1, x > 0.5 0, x < 0 F(x) = { 4x – 4x², 0 < x < 0.5 1, x > 0.5 0, x < 0 F(x) = { 0.5x – 4x², 0 < x < 0.5 1, x > 0.5 0, x < 0 4x – 4x2 ,0 < x < o F(x) :
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