Several steel beams delivered to the factory are to be used as columns. The test data for the lot from

which these beams were selected are known to have a Young's modulus in the range \(29 \times 10^{6} \mathrm{psi} \leq E \leq\) \(31 \times 10^{6} \mathrm{psi}\), with all values equally likely. If the columns have a cross sectional area of \(144 \mathrm{in}^{2}\) and are loaded with 100,000 lb, what are the possible stress and strain ranges?