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For experimental analysis and proofing of statistical methods let there be three events in a sample...

For experimental analysis and proofing of statistical methods let there be three events in a sample space: events E, G, F. Let E, G, F be events in a sample same so that EGF = E. Which of the following is true?

E⊂G and E⊂F

One of the 3 events is null

E⊂G⊂F

E,G,F are independent

E,G,F are mutually exclusive

math   Statistics-And-Probability   
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Answer #1

Let E, G, F be events in a sample same so that EGF = E

E is subset of G or F..then after doing intersection of those 3 ...we will get E..

Hence the ans is E⊂G and E⊂F....(ans)

Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

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