You intern for a university's athletics program and are tasked with predicting whether their football team will finish i

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You Intern For A University S Athletics Program And Are Tasked With Predicting Whether Their Football Team Will Finish I 1 (54.54 KiB) Viewed 82 times

You intern for a university's athletics program and are tasked with predicting whether their football team will finish in the top 25 (y € {yes, no}) based on their score in the first game of the season, X. You collect data and estimate that for the years that the football team finished in the top 25, their score in the first game had a mean of flyes ~ 25 and variance 3s 100. For the other years, their score in the first game had a mean of ſluo 15 and variance ô 60. About 40% of the years resulted in a top 25 spot. This year, they scored 20 points in their first game. Predict the probability that the team will end up in the top 25. Use Bayes' theorem, and model the distribution of the first game scores, conditioned on whether the season resulted in a top 25 spot, as Gaussian. yes