Mathematics, 18.02.2020 02:56 bennett2968
A defibrillator manufacturer uses three different materials (Silver, Titanium, and Copper) for the electrodes in its devices. Each electrode is made solely from a single material. The electrodes are designed as an adhesive pad, which must carry strong pulses of electricity without deteriorating and remain functional after 10 years. Events are defined as follows: .Ag: the electrode is made of Silver Ti: the electrode is made of Titanium . Cu: the electrode is made of Copper . X: the electrode is functional after 10 years The probabilities that an electrode is made out of the different materials are as follows:
Ag: the electrode is made of Silver
Ti: the electrode is made of Titanium
Cu: the electrode is made of Copper
X: the electrode is functional after 10 years
The probabilities that an electrode is made out of the different materials are as follows:
P(Ag) 0.2 ; P(Ti) 0.7; P(Cu) 0.1
and the conditional probabilities of functionality after 10 years are as follows:
P(XlAg)=0.9, P(XlTi)= 0.8, P(X l Cu)=0.6
i. Using words, explain what P(Ag|X) represents. Then, compute P(Ag|X).
ii. Using words, explain what P(Ag, IX) represents. Then, compute P(Ag'IX).
iii. Using words, explain what P(X) represents. Then, compute P(X).
Answers: 1
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