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MATH BA105-A company which manufactures pacemakers

01 / 10 / 2021 Projects

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MATH BA105-A company which manufactures pacemakers

3. A company which manufactures pacemakers is testing new electrodes made of Gold or Platinum or Rhodium. Electrodes are always made from one and only one of these metals. Define the following events:• Au: The electrode is made of Gold.• Pt: The electrode is made of Platinum.• Rh: The electrode is made of RhodiumThe electrodes must adhere to a silicone substrate for many years. Let X be the event that the electrode adheres. Conditional probabilities of adherence are given:P (X |Au) = 0.9, P (X |Pt) = 0.8, P (X |Rh) = 0.6Probabilities of different metals being used to manufacture the electrodes are given:P (Au) = 0.2, P (Pt) = 0.7, P (Rh) = 0.1(a) Find P (Au| x )(b) Find P (Au’|X). (c) Find P (X).



International House, 12 Constance Street, London, United Kingdom,
E16 2DQ

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