1Statistics Help. I believe that this question deals with the Central Limit Theorem.

1Statistics Help. I believe that this question deals with the Central Limit Theorem. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. Randomly sample of 49 fly balls.

b. What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. Find the probability.

c. Find the 80th percentile of the distribution of the average of 49 fly balls.

2.I also need a clear understanding on this: A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ test, what is the probability that the sample mean sores will be between 85 and 125 points.

Thanks