4.4 Given the expression for the area of a circle, A = r, and using only...

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4.4 Given the expression for the area of a circle, A = r², and using only uniformly distributed random variates, devise a sampling approach for computing π. 4.5 Rearrange the logistic function 1 = P(Tnew 1|xnew, w) 1+exp(-ŵxnew) to show that P(Tnew = 1|xnew, ŵ) = 0.5 implies ŵxnew = 0. 4.4 Given the expression for the area of a circle, A = r², and using only uniformly distributed random variates, devise a sampling approach for computing π. 4.5 Rearrange the logistic function 1 = P(Tnew 1|xnew, w) 1+exp(-ŵxnew) to show that P(Tnew = 1|xnew, ŵ) = 0.5 implies ŵxnew = 0.