2. It is felt that respondents are more likely to be honest when a randomized response survey is used. Subsequently, a substance-abuse prevention program at a university has designed and distributed the following questionnaire to all the employees and students: Flip a coin. If the coin comes up heads, answer Question Q; if tails, answer Question I). All answers are anonymous. a. Do you carpool to the school? I]. Have you used illegal drugs within the last month? Your answer (circle one): YES NO Assume that all employees and students answer the survey, all use a fair coin, and all answer honestly. Out of 5000 responses, 1200 are marked \"Yes." Suppose the program knows that 30% of the employees and students carpool to the school. (1) Dene relevant events and draw a Venn dla; (2) What is the percentage of the employees and students who used illegal drugs within the last month? Total Probability Formula and computation are required