Grade 12 - Comp. / Extras 1 exercises corrected

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1. Unclassified financial years E.6114 This exercise is a multiple-choice questionnaire. (QCM) . For each question, only one of the four answers is correct. The choice of answers must be justified. 1 The probability tree below represents a situation where A and B are two events, whose opposite events are re-spectively denoted by A and B . Then : a P A B = 0.18 b P A ∩ B = 0.9 c P A B = 0.7 d P B = 0.5 2 Using the same tree, the probability of event B is equal to : a 0.5 b 0.18 c 0.26 d 0.38 3 g is the function defined on the interval 0 ; + ∞ by g ( x ) = 5 x . We denote C as its representative curve. The area, expressed in area units, of the domain bounded by the curve C , the x-axis, and the lines with equations x =2 and x =6 , is equal to : a 5 · ln 6 − ln 2 b 1 6 − 2 · 6 2 g ( x ) d x c 5 · ln 6 + 5 · ln 2 d g (6) − g (2) https://chingmath.fr chapExoCorrec/6114 sacados/6114 0;60;3B:::BA:::0;2B:::BA