Ace Machine Works estimates that the probability its lathe tool is properly adjusted is 0.8. When the lathe is properly adjusted, there is a 0.9 probability that the parts produced pass inspection. If the lathe is out of adjustment, however, the probability of a good part being produced is only 0.2. A part randomly chosen is inspected and found to be acceptable. At this point what is the posterior probability that the lathe tool is properly adjusted?

Solution Preview

probability that the lathe is properly adjusted= 0.8
Therefore the probability that the lathe is not properly adjusted=1-0.8= 0.2

the probabilty that the parts are acceptable when the lathe is properly adjusted = 0.9
the probabilty that the parts are acceptable when the lathe is not ...

Solution Summary

Calculates the posterior probability that the lathe tool is properly adjusted.

Posterior probability. Using the following information about the accuracy of a market research firm: ... The solution calculates posterior probability. ...

Populations and Posterior Probability. ... Given that a student failed the test, what is the posterior probability that the student came from east district? ...

... Use Bayes' rule to find a table of all posterior probabilities. (The prior probability of being a drug user is still 0.05.) Then answer the following. ...

... Based on the prior and posterior probabilities given above, what is that ratio? Please see the attached file. Word Problem for probability ratio. ...

... P(W|G) = 0.15 Probability of weak test market result given awful market size, P(W|A) = 0.80. Now, we compute the required probabilities. Posterior probabilities...

... c. The posterior probability that the bid will be ... the requirement for a valid discrete probability distribution if and ... if the sum of the probabilities is equal ...

... given that all I have are probabilities that are ... of redeeming coupons = P(C1) = 17% Probability of not ...Posterior probability according to Bayes' shows us: ...