This is the data given to us, my problem is that the marginal probabilities on t

Question

This is the data given to us, my problem is that the marginal probabilities on the side are fundamentally incorrect. All resources tell me that the marginal columns should be adding up to 1. I'm also finding no resources on how to go from a conditional probability table back to a joint probability table without knowing more variables.

Problem I. From the following 3x3 conditional probability table (three genotypes and three phenotypes), find the corresponding joint probabilities and then calculate the proportions of the three phenotypes (the marginal probabilities of the phenotypes) Genotype Black 0.80 0.15 0.15 Pr(Black) Phenotype Gra 0.10 0.80 0.15 White 0.10 0.05 0.70 Pr(White) Marginal 0.25 0.50 0.25 A,A Marginal 212 Pr(Gra

Explanation / Answer

why you are thinking that right most column is wrong as it adds up to 1.

also to get the joint probability you need to multiply each cell with its right most maginal probability,

below is joint probability table:

phenotype genotype Black gray white marginal A1A1 0.2 0.025 0.025 0.25 A1A2 0.075 0.4 0.025 0.5 A2A2 0.0375 0.0375 0.175 0.25 marginal 0.3125 0.4625 0.225 1

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