A physicist makes 25 independent measurements of the specific gravity of certain body. He knows that the limitations of his equipment are such th the standard deviation of each measurement is (J units. (a) By using the Chebyshev inequality, find a lower bound for the probability that the average of his measurements will differ from the actual special gravity of the body by less than 0/4 units. (b) By using the central lintit theorem, find an approximate value for tI probability in part (a).