PithStat2003 - '~"~ ~:~,~!f~ ~:~.i Ó×ÏËÇ...

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- ~ ",~'!f~ ,. :~ '~""~ " ~:~: -) " . ...i Ó×ÏËÇ: Çëåêôñïëüãùí Ìç÷áíéêþí ÖåâñïõÜñéïò 2003 " ÅÎÁÌÇÍÏ: 30 ÈÅÙÑÉÁ ÐÉÈÁÍÏÔÇÔÙÍ ÊÁÉ ÓÔÁ ÔÉÓÔÉÊÇ -  1. Á. Ï áñéèìüò áôåëåéþí áíÜ cm2 óôï õðüóôñùìá åíüò ïëïêëçñùìÝíïõ êõêëþìáôïò åßíáé \ Ô.ì. × ìå êáôáíïìÞ Poisson ðáñáìÝôñïõ ë. ¸÷åé åêôéìçèåß üôé ç ðéèáíüôçôá íá õðÜñ÷åé ôï ðïëý ìßá áôÝëåéá åßíáé 4ðëÜóéá ôçò ðéèáíüôçôáò íá õðÜñ÷ïõí äýï áêñéâþò áôÝëåéåò. á) Íá âñåßôå ôçí ðáñÜìåôñï ë. â) Íá âñåßôå ôçí ðéèáíüôçôá þóôå íá õðÜñ÷ïõí ôï ðïëý äýï áôÝëåéåò óå 3cm2. Â. Áí ×, Õ Ô.ì. äåßîôå üôé ~X + 11 = ~~ + ~J1 + 2 Cov(X, Õ). 2. Á. Ç äéÜñêåéá æùÞò åíüò åîáñôÞìáôïò åßíáé êáíïíéêÞ Ô.ì. × (hours) ìå ðáñáìÝôñïõò ì = 2000 êáé ó = 200. Ôï åîÜñôçìá êïóôßæåé
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