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Distributionsmedium
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Suppose X1,X2X_1, X_2X1​,X2​ are independent random variables where X1∼N(0,1)X_1 \sim N(0, 1)X1​∼N(0,1) and X2∼N(0,1)X_2 \sim N(0, 1)X2​∼N(0,1). What is the distribution of Y=X12+X22Y = X_1^2 + X_2^2Y=X12​+X22​?