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Let X 1 and X 2 be statistically independent and identically distributed uniform random variables on...

Let X 1 and X 2 be statistically independent and identically distributed uniform random variables on the interval [ 0 , 1 )
F X i ( x ) = { 0 x < 0 x 0 ≤ x < 1 1 x ≥ 1

Let Y = max ( X 1 , X 2 ) and Z = min ( X 1 , X 2 ) .

Determine P(Y<=0.25), P(Z<=0.25), P(Y<=0.75), and P(Z<=0.75)

Determine

0 0
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Answer #1

. Let y = give by * Solution- Let X, ulo.) Let X₂ ~ Uco, f(x) = 1, ostil f(az)= 1 & orde & Its calf is F(x)=x, osaisi Its calAlso, we know that the disth of the order statistic je X(6) is gives by f(xcoi) = n [F(b)n-1 f(a) - here the disth of Y= man

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