6. (8 points) A plant biologist is particularly interested in this species of wild mushroom with 4 different colors, white, brown, red, and purple, and their poisonous level. Throughout a few years, each time she collects a mushroom from this family, she takes it to the lab, tests for poison, and then records one entry into her database, with the color of the mushroom and whether it is poisonous or not (Yes/No). Below is a two-way table that summarizes the number of mushrooms she collected by two categorical variables: their color (White, Purple, Red, and Brown) and their poison (yes = poisonous or no = not poisonous). Based on this table, answer the following questions. Rows: Poison Columns: Color Brown Purple Red White All No 528 123 167 696 1514 Yes 178 202 118 212 710 All 706 325 285 908 2224 Cell Contents Count (a) (1 point) What percent of the botanist's mushroom sample is white? (b) (1 point) What percent of the sample is poisonous? (c) (1 point) What percent of mushrooms that don't have poison are red? (d) (1 point) What percent of purple mushrooms are poisonous? (e) (1 point) What percent of the sample are brown and don't have poison? (f) (3 points) Identify the type of probability (marginal, joint, or conditional) for parts (a), (d), and