4.7 As a particle physicist, you carry out an experiment involving a comparison between the physics of

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4.7 As a particle physicist, you carry out an experiment involving a comparison between the physics of matter and the physics of antimatter. Is there a particular kind of symmetry or not? Suppose that your prior probability for finding this asymmetry is 50 percent. Moreover, suppose the experiment yields a "+1" if you measure a decay signature that corresponds to symmetry, and that the experiment yields a "-1" if you measure a decay signature that corresponds to asymmetry. The error in measuring the decay signature corresponding to symmetry is 0.001, whereas the error in measur- ing the decay signature corresponding to asymmetry is 0.01 in this experi- ment. Suppose you find a "+1" in your experiment. What is your posterior probability that you have found this type of asymmetry?

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