(Solution) - Construct an example where r v s Xn and X defined on -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Construct an example where r.v.s Xn and X, defined on a probability space ((, A, P), are such that

Construct an example where r.v.s Xn and X, defined on
Pointwise hence
Construct an example where r.v.s Xn and X, defined on
And
Construct an example where r.v.s Xn and X, defined on
But
Construct an example where r.v.s Xn and X, defined on