1. Consider the crop network below, with random variables E: Environmental Potential, G: Genetic Potential, V: Vegetative Organs, N: Number of Seeds, W: Seeds Mean Weight, and C: Crop. Express the joint distribution P(E,G,V,N,WC) as a product of conditional probabilities. Crop Bayesian Network 2. Consider the following biplot of states in the US based on census track data. Maine South Dakota Mississippi South Caroling Ar Virginia u e Mexico Tennessee Louisane Oklahoma MontanNes Dia Delawie planta Georgia Population ban A This I calfornia a) What variables contribute to the largest source(s) of variation in the dataset, and how can you tell? b) Why do California and New York separate from the "cloud" of other states? 1. Consider the crop network below, with random variables E: Environmental Potential, G: Genetic Potential, V: Vegetative Organs, N: Number of Seeds, W: Seeds Mean Weight, and C: Crop. Express the joint distribution P(E,G,V,N,WC) as a product of conditional probabilities. Crop Bayesian Network 2. Consider the following biplot of states in the US based on census track data. Maine South Dakota Mississippi South Caroling Ar Virginia u e Mexico Tennessee Louisane Oklahoma MontanNes Dia Delawie planta Georgia Population ban A This I calfornia a) What variables contribute to the largest source(s) of variation in the dataset, and how can you tell? b) Why do California and New York separate from the "cloud" of other states