Davis Hospital, a non-profit entity, wants to buy a machine for $135,000, which will run for 6 years. The savings from the machine are uncertain, with an expected value of $35,000 per year and a standard deviation of $10,000. The hospital uses 10% as the discount rate and it does not pay any income taxes. Find the probability that the machine will be profitable (that is its NPV > 0). Should the hospital buy the machine?