Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 255 feet and a standard deviation of 43 feet. We randomly sample 49 fly balls.

What is the probability that the 49 balls traveled an average of less than 245 feet?

Put your answer in decimals to 3 places. e.g. 35.5% should be entered as 0.355.