Seventy-one percent of the light aircraft that disappear hile in flight in a cer

Question

Seventy-one percent of the light aircraft that disappear hile in flight in a certain country are subsequently discovered. Of the aircraft that are discovered 63% have an e Suppose a light aircraft has disappeared. (Round your answers to three decimal places.) emergency locator, whereas 80% of the aircraft not discovered do not have such a locator. (a) if it has an emergency locator, what is the probability that it will not be discovered? (b) If it does not have an emergency locator, what is the probability that it will be discovered?

Explanation / Answer

a)

P(not discovered|emergency locator)=P(nt discovered and emergency locator)/P(emergency locator)

=0.29*0.2/(0.29*0.2+0.71*0.63)=0.115

b)

P(discovered|no emergency locator)

=0.71*0.37/(0.29*0.8+0.71*0.37)=0.531

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