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6. Let X1, X2. ..., Xn be independent and identically distributed random variables from [18 Marks] Uniform(0,1) distribution. Let X() and X(n) denote the smallest

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6. Let X1, X2. ..., Xn be independent and identically distributed random variables from [18 Marks] Uniform(0,1) distribution. Let X() and X(n) denote the smallest and the largest order statistics, respectively. The range of the random variables is defined as R = X(n) - X(1) and the midrange is defined as VE= (X(1) + X()). a) Find FXa)(1), the marginal probability density function of X(1). b) Find fx(1),Xin)($1, In), the joint probability density function of X() and X(n). c) Find P (

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