Suppose that the length X of the life (in years) of a battery for a computer has a distribution that can be described by the pdf: f(x) = 16/49 e^-8x^2/49 Determine the probability that the battery fails before the one year warranty expires on the computer. a) 0.8494 b) 0.2773 c) 0.3506 d) 0.1506 e) 0.3773 f) None of the above