The mean starting salary offered to graduating students with a certain major in a recent year was $$64,275,$ with a standard deviation of $$3712.$ A random sample of $85$ of that year's graduating students with the major has been selected.

What is the probability that the mean starting salary offered to these $85$ students was $$65000$ or more?

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.