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4 cards from this section. Quick, good the night before a test.
What is the definition of sample space?
Think about all things that can happen in a probability experiment.
Explain conditional probability using the notation P(A|B).
Focus on what is known when B happens.
What is Bayes’ Theorem primarily used for?
Think about how you adjust your beliefs when new information comes.
True or False: The posterior probability is the same as the prior probability.
Recall the definitions of prior and posterior.
A factory produces two types of items: A and B. Items A have a defect rate of 5%, while items B have a defect rate of 10%. If 70% of items produced are of type A, what is the probability that a randomly selected defective item came from type B?
Consider applying the theorem with both defect rates and prior production proportions.
In a clinical trial, a med shows a 90% treatment response rate. However, 15% of non-responders still show improvement due to external factors. How is this scenario modeled using Bayes’ Theorem to assign probabilities upon observing a response?
Survey how patient responses lead to refined probabilities regarding treatment efficacy.
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