Mathematics · Probability Distributions
Which of the following functions is a valid cumulative distribution function (CDF)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1F(x) = 1/(2+x2) if x < 0, and (2+x2)/(3+x2) if x ≥ 0✓
- 2F(x) = 1/(2+x2) if x < 0, and (2+x2)/(3+2x2) if x ≥ 0
- 3F(x) = 1/(2+x2) if x < 0, and (2 cos(x)+x2)/(4+x2) if x ≥ 0
- 4F(x) = 1/(2+x2) if x < 0, and (1+x2)/(4+x2) if x ≥ 0
Correct answer
F(x) = 1/(2+x2) if x < 0, and (2+x2)/(3+x2) if x ≥ 0
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