{"blocks": [{"key": "38bbb1dd", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "63827889", "text": "Mixture of lazy and careful reviewers", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "b7e82703", "text": "Question", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "a4e2391c", "text": "Lazy reviewers (20 %) always give good reviews; careful reviewers (80 %) give good reviews 60 % of the time. (a) What is the probability a random review is good? (b) If a review is negative, what is the probability it came from a lazy reviewer? (c) What is the expected number of good reviews in 100 reviews? (d) After a reviewer gives three consecutive good reviews, what is the probability the reviewer is lazy? (e) How does this probability change as the number of consecutive good reviews N → ∞?", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "eb6bf0f4", "text": "Hints", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "f1e5925d", "text": "Use total probability and Bayes; assume reviews from a given reviewer are independent conditional on reviewer type.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}], "entityMap": {}}