Ace! ~ One of the biggest strengths in any tennis player's game is their serve. While the best tennis players use a combination of power and precision in their serves, sports statistics have shown that players with faster serve speeds are generally more successful in tournament play.Assume that in men's professional tennis, the speed of first serves is approximately normally distributed with a mean of 118.9 mph and a standard deviation of 4.71 mph.Assume that in women's professional tennis, the speed of first serves is approximately normally distributed with a mean of 106.4 mph and a standard deviation of 4.65 mph.1. What proportion of first serves of players in the men's tournament have a speed faster than 127.7 mph? Round your answer to 4 decimal places.2. What proportion of first serves of players in women's professional tennis have a speed between 99.8 mph and 116.9 mph? Round your answer to 4 decimal places.3. Horacio plays men's professional tennis and his fastest first serve speed is 129.3 mph. What is the percentile ranking for Horacio's fastest first serve speed? Round your answer to the nearest whole percentage. Enter only a number into the answer blank.Percentile rank = 4. Elijah plays fantasy tennis online and is selecting players for his women's professional tennis lineup. He will select players if they have a fastest first serve speed in the top 15%. What is the minimum fastest first serve speed a player can have to make it onto Elijah's fantasy tennis lineup?