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you to place a beta(1,9) pr ve tested from the shipmer distribution on the defect

you to place a beta(1,9) pr ve tested from the shipmer distribution on the defect

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A large shipment of parts is received, out of which five are tested for defects. Past experience with the supplier leads you to place a beta(1,9) prior on the part defect rate. Suppose no defects are observed in the five tested from the shipment. Give the posterior distribution on the defect rate, the MAP estimate of the defect rate, the Bayes estimate (LMS) of the defect rate, and the 95% HDI.
Transcribed Image Text:A large shipment of parts is received, out of which five are tested for defects. Past experience with the supplier leads you to place a beta(1,9) prior on the part defect rate. Suppose no defects are observed in the five tested from the shipment. Give the posterior distribution on the defect rate, the MAP estimate of the defect rate, the Bayes estimate (LMS) of the defect rate, and the 95% HDI.
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