A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a year.

A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a year. What is the probability that his annual profit will not exceed $100,000? 

Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.