2. INFERENCE (a) The tabular version of Bayes theorem: You are listening to the statistics podcasts of two groups. Let u
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- 2 Inference A The Tabular Version Of Bayes Theorem You Are Listening To The Statistics Podcasts Of Two Groups Let U 1 (84.87 KiB) Viewed 12 times
2. INFERENCE (a) The tabular version of Bayes theorem: You are listening to the statistics podcasts of two groups. Let us call them group Cool og group Clever. i. Prior: Let prior probabilities be proportional to the number of podcasts cach group has made. Cool made 7 podcasts, Clever made 4. What are the respective prior probabilities? ii. In both groups they draw lots to decide which group member do the podcast intro. Cool consists of 4 boys and 2 girls, whereas Clever has 2 boys and 4 girls. The podcast you are listening to is introduced by a girl. Update the probabilities for which of the groups you are currently listening to. iii. Group Cool does a toast to statistics within 5 minutes after the intro, on 70% of their podcasts. Group Clever doesn't toast. What is the probability that they will be toasting to statistics within the first 5 minutes of the podcast you are currently listening to?