Elite Gymnastics, Women ~ After the 2004 Olympic games, the scoring system for gymnastics was overhauled. Rather than rank performances from 0 points to 10 points as the old system did, the new system judges routines based on a combination of the difficulty of the skills attempted in the performance and the gymnast's execution of the skills.One result of this change is that the distribution of scores for elite gymnasts at international competitions now closely resembles the normal curve.Female gymnasts compete on four different apparatus: Vault, Floor, Uneven Bars, and Balance Beam. The values given in this problem were calculated from the reported results of international competitions of female elite gymnasts between the years 2006 and 2019.Scores on the Balance Beam apparatus follow a normal distribution with a mean of 13.796 and a standard deviation of 1.101Round all calculated answers to 4 decimal places.1. What proportion of female elite gymnasts score between 11.22 and 15.04 on the Balance Beam apparatus?2. What proportion of female elite gymnasts score higher than 13.356 on the Balance Beam apparatus?3. Suppose a female elite gymnast scored 11.583 on the Balance Beam apparatus. What proportion of gymnasts scored lower than she did?4. Keisha wants to follow on Instagram all the elite gymnasts who score in the top 11% on the Balance Beam apparatus. How high would an elite gymnast need to score in order for Keisha to want to follow her on Instagram?