uestion 1 (6 marks) An experiment explores the correlation between mathematical skill and success in coding competitions. MS/Competition App Dev Algorithm Data Science Contest Challenge Hackathon High Skill 0.10 0.30 0.20 Low Skill 0.15 0.10 0.15 1. (2) What is the probability of someone participating in an App Development Contest? Algorithm Challenge? Data Science Hackathon? 2. (2) What is the probability of coding competition success conditional on high mathe- matical skill? low mathematical skill? 3. (2) Are mathematical skill and coding competition success independent of each other? Provide a rationale for your answe