3. Startlebucks, a local Sumatra. Th the more expensive but popular Ethiopia bea

Question

3. Startlebucks, a local Sumatra. Th the more expensive but popular Ethiopia beans come tro deemed unacceptable. ichigan coffee supplier, receives coffee beans from both Ethiopia and e Sumatra source generally has 5% of its beans found to be unacceptable, while Thirty percent of Startlebucks from Sumatra. If a bean is selected at random from inventory and it is found to be rn a source that has 10% of beans unacceptable, what is the probability that that bean came from Ethiopia? ' "Elite Wakeup" mix of coffee comes

Explanation / Answer

P( bean is unacceptable) =P(bean from Sumatra and unacceptable+from Ethiopia and unacceptable)

=0.3*0.05+0.7*0.1=0.085

hence P( bean is from Ethopia given unacceptable)=0.7*0.1/0.085=0.8235

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