A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories: - Smooth - Rhythm - Standard The results were then presented to the owner in the following Venn Diagram. Smooth 5 Rhythm 7 12 15 14 Standard 6 a If a student is chosen at random, what is the probability that: Write your answers in percent form. Round to the nearest tenth of a percent. a) The student has competed in none of the categories? b) The student has competed in all three of these categories? 96 c) The student has competed in Smooth or Standard, but not Rhythm? d) The student has competed in Rhythm and Standard, but not Smooth? e) The student has competed in Rhythm