Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 234 feet and a standard deviation of 58 feet. We randomly sample 49 fly balls.

What is the probability that the 49 balls traveled an average of less than 224 feet? (Round your answer to four decimal places.) Sketch the graph. Scale the horizontal axis for

X.

Shade the region corresponding to the probability.

Find the 80th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)