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Chapter 5: Q 5.6 (page 215)

Define a collection of eventsEa,0<a<1having the property that P(Ea)=1for allabutP(鈭�aEa)=0

Hint: LetXbe uniform over(0,1)and define eachEain terms ofX.

Short Answer

Expert verified

Therefore, the collection of eventsEa,0<a<1having the property thatP(Ea)=1for allabutP(鈭�aEa)=0

Step by step solution

01

Given information:

let Xbe uniform over(0,1).

02

Explanation:

LetX~鈭�(0,1)andEa=X鈮�a.

03

Explanation:

Thus,鈭赌a鈭�(0,1),P(Ea)=P(X鈮�a)=1butP(鈭�aEa)=P(0)=0.

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