 Solution

ID: past-exam-of-the-probability-statistics-and-options-i-course-of-the-university-of-oxford/2011/d/1/c/solution

A \subseteq E

and

E

is a null set, every interval cover of

E

also covers

A

0 \leq m^{*} (A) \leq m^{*} (E) = 0

. Hence every subset of a null set is null, and in particular is Lebesgue measurable.

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