Let X1,X2X_1, X_2X1,X2 be i.i.d. random variables with PDFPDFPDF f(x)=1f(x) = 1f(x)=1 for x∈[0,1]x \in [0, 1]x∈[0,1]. Find P(X12+X22≤1)P(X_1^2 + X_2^2 \le 1)P(X12+X22≤1).
1/41/41/4
π/4\pi/4π/4
1/21/21/2
π/8\pi/8π/8