An undergraduate business student has purchased a laptopcomputer for use during exams. This laptop is perfectly reliableexcept for two parts: its microchip, which has a failure rate ofone in every twenty hours of operation; and its battery, which hasa failure rate of one in every ten hours of operation. Also, onaverage the battery will wear out in five hours, with a standarddeviation of 30 minutes. Assuming that a new battery has just beeninstalled, what is the probability that the battery will performreliably during a one-hour exam?
