Zima, a clear malt beverage from the 90s produced by the Coors Brewing Company, came in 12-ounce bottles. In the manufacturing process, the actual amount of Zima that made it into a bottle had an expected value of 12 ounces with a standard deviation of 0.1 ounces.

What is the probability that the sample mean of 35 randomly chosen bottles of Zima from the production line is greater than 11.99?

Note: Round to the nearest thousandth.