1) To qualify for an elite track meet, a long-jumper must be in the top 5% of all jumpers in his state. To qualify for the meet, what percentile must the jumper exceed? Explain. (#28 text) 2) On the 2009 PGA tour, Tiger Woods had an average driving distance of 298 yards. Assuming that the distribution of his driving distances can be modeled by a Normal distribution with a standard deviation of 12 yards, use z-scores and the Normal table to answer the following questions: (#30 text) a) The farthest 25% of Tiger's drives are above what distance? What is another name for this boundary? b) What is the 5th percentile of his distribution of driving distances? 3) Suppose golfer Michelle Wie has an average driving distance of 269.1 yards, with a standard deviation of 13.8 yards, and that the distribution of her driving distances can be modeled by a Normal distribution. The longest 10% of her drives will go farther than what distance? (#32d text) 4) Suppose that a golfer has an average driving distance of 265 yards and 15% of her drives go less than 250 yards. What is her standard deviation of driving distances, assuming the distribution of her driving distances can be modeled by a Normal distribution? (#36 text)5) In the 2010 Winter Olympics in Vancouver, the mean distance of ski jumpers in the final round on the normal hill was 100.5 meters, with a standard deviation of 3.3 meters. On the long hill, the mean distance of ski jumpers in the final round was 125 meters, with a standard deviation of 8.2 meters. Both distributions can be modeled by a Normal distribution. (#40 text) a) Simon Ammann of Switzerland won both events, with jumps of 108 meters on the normal hill and 138 meters on the long hill. Which PERFORMANCE was better, relatively speaking? Justify your answer. b) On the normal hill, the middle 95% of the jumpers flew between what two distances? Use the empirical rule (68-95-99.7 rule) and sketch the estimation curve to help. c) Estimate the proportion of jumpers that flew over 100 meters on the normal hill. (Use the Normal table.) d) To be at the 80" percentile of distances on the normal hill, about how far would a jumper need to fly