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Q9Section A (Section A)9 of 60

Probability for a weighted sum of Gaussians

Suppose X∼N(0,4)X\sim N(0,4) and Y∼N(0,9)Y\sim N(0,9) are independent random variables. Then the value of P(9X2+4Y2<6)\mathbb{P}(9X^2+4Y^2<6) is

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