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Problem 1: Seastar wasting disease (15 pts) Seastar wasting disease recently decimated seastar populations on the Pacific Coast, and is possibly moving to the Atlantic Coast. The disease causes seastars to melt and eventually their arms fall off. The California Department of Environmental Protection recently conducted a census of two species of sea stars in Bodega Harbor (Pisaster and Asteria). Each individual was characterized as diseased or normal. Here is the data for the number of each species found in each category ## Normal ## Diseased 423 100 Pisaster Asteria 132 321 a) Draw a mosiac plot that emphasizes the proportion of individuals that are diseased vs. normal for each species. (Hint: Your plot should visualize what proportion of Pisaster are diseased and what proportion of Asteria are diseased). Describe why you think your plot emphasizes this proportion. 6 points
b) Draw a probability tree for the sample, where the first bifurcation in the tree is for Species and the next bifurcation is for disease state. On each branch label the probabilities, and at the tips of the tree calculate the probability that a randomly sampled sea star is (i) diseased and Pisaster, () normal and Pisaster, (ii) diseased and Asteria, and (iv) normal and Asteria. Show your work. 6 points
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  • Problem 1: Seastar wasting disease (15 pts) Seastar wasting disease recently decimated seastar populations on the...

    Problem 1: Seastar wasting disease (15 pts) Seastar wasting disease recently decimated seastar populations on the Pacific Coast, and is possibly moving to the Atlantic Coast. The disease causes seastars to "melt" and eventually their arms fall off. The California Department of Environmental Protection recently conducted a census of two species of sea stars in Bodega Harbor (Pisaster and Asteria). Each individual was characterized as "diseased" or "normal". Here is the data for the number of each species found in...

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