1. Homework
We wish to classify two species of fish (salmon and bass) based on their luminosity as measured by a camera. We have the following likelihoods:
160
180
200
0.02
0.04
0.06
0.08
Likelihood
bass
salmon
We also have the following prior probabilities:
Draw a figure showing the marginal distribution:
Draw a figure showing the posterior probabilities for each fish specie:
Draw another figure showing the variance of this binomial posterior probability distribution: This variance is your measure of confidence in classifying the fish.