NETMaths

Is this true?

The maximum of independent exponentials is exponential

No — it is false.

The counterexample

with ~ Exp(1)

The minimum is exponential (rate ; the maximum has CDF (1 − , which is not exponential.

The kind of mistake this is

Invariants don't determine

Two objects sharing an invariant were treated as the same object.

Drill statements like this

Others that fail the same way

From ProbabilityStandard discrete and continuous distributions

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