Consider an rv X with mean m and standard deviation s, and let g(X) be a specified function of X. The first-order Taylor series approximation to g(X) in the neighborhood of m is
The right-hand side of this equation is a linear function of X. If the distribution of X is concentrated in an interval over which g(?) is approximately linear approximately linear in (1, 2)], then the equation yields approximations to E(g(X)) and V(g(X)). a. Give expressions for these approximations.
b. If the voltage v across a medium is fixed but current I is random, then resistance will also be a random variable related to Calculate approximations to µR and σR