EL ENG 126 Midterm: ee126-fa1997-mt2-Ren-exam

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Given the joint probability density of two rvs. Y f xy x y,( y+( k x. F x x( ) fy y( ) f x x( ) f y y( ) Find f x y x y (6 pts. ) e) Find the minimum mean square error estimator of mean square error. (6 pts. ) Find the linear minimum mean square error estimator of resulting mean square error. (6 pts. ) Assume that and have identical density x( ) e x f xi x. Suppose the system works only if all n components work. Suppose we already know that the system has already lasted 10 hours. Find the condi- tional pdf and expectation of (12 pts. ) To increase reliability, we use redundancy by increasing the number of components from components working. n. Suppose the system works so long as there are at least to. X1 x2 , unknown. be a sequence of i. i. d. X1 xn (5 pts. ) is denoted as.