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categoryإحصاء schoolبكالوريوس event_available2026-07-15

السؤال

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Exercise 2. Let X1, X2,···, X5 be i.i.d. Exp(1) RVs. Recall that the PDF of Exp(1) RVs is given by fx(t)=et1(t≥0). Let Y₁ < Y₂ < ... < Y5 denote the order statistics of X1, ..., X5. (1) (i) Compute the CDFs of Y₁ < ... < Y5. (ii) Compute the PDFs of Y₁ < ... < Y5. (iii) Plot the PDFs of Y₁ << Y5.

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