Ray Flagg took out a​ 60-month fixed installment loan of​ $12,000 to open a new pet store. He paid no money down and began making monthly payments of ​$232. ​Ray's business does better than expected and instead of making his 30th ​payment, Ray wishes to repay his loan in full.

Monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. round your answer to four decimal places.