Tag | Value |
---|---|
file | Inferential_Statistics_uva-bayesian-statistics-986-en_uva-bayesian-statistics-986-en |
name | uva-bayesian-statistics-986-en |
section | Inferential Statistics/Bayesian Statistics |
type | schoice |
solution | FALSE, FALSE, FALSE, TRUE, FALSE |
Type | Conceptual |
Language | English |
Level | Statistical Literacy |
IRT-Difficulty | 2 |
p-value | 0.5905 |
A company A owns three factories, namely A1, A2 and A3, TRUE where razors of the same type are made. The probability of a defective device at A1, A2 and A3 is, respectively: 0.1; 0.06 and 0.05. During a given period, all three factories in aggregate make 10,000 shavers of which 2000 are made by A1, 5000 by A2 and 3000 by A3. From the total production an inspector randomly chooses a shaver and the chosen razor turns out to be defective. What is the probability P(A1|D) that it came from factory A1?