Sample Question #188 (probability theory)

Prove that every cdf must be bounded between 0 and 1.

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Sample Question #188 (probability theory)

Prove that every cdf must be bounded between 0 and 1.

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ANSWER

I don’t remember if an actual mathematical proof exists. But a cdf (cumulative distribution function) reflects the probability of some event, and by definition probability always lies between 0 and 1. In other words, the statement is true by definition — and only functions bounded between 0 and 1 can qualify to be a cdf.