Please help me with all parts. Thank you so much! (all parts are below)

Q 1.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 230 feet and a standard deviation of 48 feet. We randomly sample 49 fly balls. El Part (a) If )7 = average distance in feet for 49 y balls. then give the distribution of )7. Round your standard deviation to two decimal places. Y~:](:]-:])- What is the probability that the 49 balls traveled an average of less than 220 feet? (Round your answer to four decimal places.) Sketch the graph. Scale the horizontal axis for )7. Shade the region corresponding to the probability. A 0210 220 230 240 250 0210 220 230 240 250 A 0210 220 230 240 250 0210 220 230 240 250 Find the 80th percentile of the distribution of the average of 49 y balls. (Round your answer to two decimal places.) ft eBook Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 148 minutes with a standard deviation of 15 minutes. Consider 49 of the races. Let )7 = the average of the 49 races. Give the distribution of )7. (Round your standard deviation to two decimal places.) (,) XI 1 Find the probability that the average of the sample will be between 146 and 151 minutes in these 49 marathons. (Round your answer to four decimal places.) Find the 80th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) min Find the median of the average running times. min