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The probability cumulative distribution function must be monotone as well as ___________

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The probability cumulative distribution function must be monotone as well as ___________

(a) Increasing

(b) Decreasing

(c) Non-increasing

(d) Non-decreasing

This question was addressed to me at a job interview.

The query is from Fourier Series Analysis using Circuits topic in section Fourier Analysis on Complex Spaces of Signals and Systems

1 Answer

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by (42.1k points)
Correct option is (d) Non-decreasing

Easiest explanation: The probability cumulative distribution function increases to 1 monotonically and there after remains constant. Therefore we can say that the probability cumulative distribution function must be monotone as well as non-decreasing.

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