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Q22Section A (Section A)22 of 60

Two-squares chi-square tail probability

Let Z1Z_{1} and Z2Z_{2} be i.i.d. N(0,1)N(0,1) random variables. If Y=Z12+Z22Y=Z_{1}^{2}+Z_{2}^{2}, then P(Y>4)P(Y>4) equals

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