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Q47Section C (Section C)47 of 60

Normal combination tail probability

Let X1,X2X_{1},X_{2} and X3X_{3} be independent random variables such that X1∼N(47,10)X_{1}\sim N(47,10), X2∼N(55,15)X_{2}\sim N(55,15) and X3∼N(60,14)X_{3}\sim N(60,14). Then P(X1+X2≥2X3)P(X_{1}+X_{2}\ge 2X_{3}) equals __________ (round off to two decimal places)

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