Studies have shown that plant-based diets decrease muscle inflammation. The table below summarizes a random sample of 50 athletes surveyed about whether they are on a plant-based diet. Not Plant-based Plant-based Total Table: Athlete's Responses to being Plant-based Football Player 20 2 22 MMA Fighter Marathon Runner 14 6 20 5 a) The probability a randomly selected athlete is a Football player is 4 9 Total 39 12 51 Suppose we randomly pick one athlete from the data set, and calculate the probabilities of the following. Write your answers as unreduced fractions (for example: 8 out of 24 would be 8/24) b) The probability a randomly selected athlete is an MMA fighter and eats a plant-based diet is c) The probability a randomly selected athlete is a marathon runner or on a plant-based diet d) The probability a randomly selected athlete is on a plant-based diet given they are a runner

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