Suppose we wish to approximate the logistic sigmoid ?(a) defined by _____ by a scaled probit function ?(?a), where ?(a) is defined by _____. Show that if ? is chosen so that the derivatives of the two functions are equal at a = 0, then ?2 = ?/8.

o(a) 1+exp(-a) Suppose we wish to approximate the logistic sigmoid ra defined by s(a)-1 N( 0,1) de by a scaled probit function d(? a), where ?(a) is defined by that if ? is chosen so that the derivatives of the two functions are equal at a-0, then ?-?/8. . Show o(a) 1+exp(-a) Suppose we wish to approximate the logistic sigmoid ra defined by s(a)-1 N( 0,1) de by a scaled probit function d(? a), where ?(a) is defined by that if ? is chosen so that the derivatives of the two functions are equal at a-0, then ?-?/8. . Show