Mathematics · Probability Distribution

The cumulative distribution function F(x) associated with the probability density function f(x) = 12x2(1 - x) for 0 < x < 1 (and 0 otherwise) is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1F(x) = 4x3 + 3x4
2F(x) = 4x3 - 3x4✓
3F(x) = -4x3 - 3x4
4F(x) = -4x3 + 3x4

Correct answer

F(x) = 4x3 - 3x4

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The cumulative distribution function F(x) associated with the probability density function f(x) = 12x2(1 - x) for 0 < x < 1 (and 0 otherwise) is:

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The cumulative distribution function F(x) associated with the probability density function f(x) = 12x2(1 - x) for 0 < x < 1 (and 0 otherwise) is:

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