7 . (15 points, 3 points each) A study was conducted in March 2022 to determine how excited people were for the next Marvel movie coming to theatres. The study consisted of 500 people from various age groups. The data is provided in the table below. Use this information to answer the probability questions that follow. Leave your answers as a fraction. Super Excited A Little Excited Not Excited At All 12 - 18 Fairly Excited 79 16 21 19 - 29 83 18 15 30-45 62 46+ 41 15 58 22 8 37 Find the probability that a randomly selected individual from this study is fairly excited for the next Marvel movie. b. Find the probability that a randomly selected individual from this study is super excited and 19-29 years old. C. Find the probability that a randomly selected individual from this study is a little excited or 30-45 years old. years old. d. Find the probability that a randomly selected individual from this study is super excited given that they are Find the probability that a randomly selected individual from this study is either super excited for the next movie or not excited at all. (6 points) Elyssa is interested in finding the true proportion of people who prefer to visit the beach on a v If she wants to be within 0.10 of the true proportion with 91% confidence, how large of a sample should s Make sure to round your final answer appropriately and specify the values you used to arrive at your an