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Leakage from the landfill contaminated an underlying aquifer that was used as a

ID: 3063871 • Letter: L

Question

Leakage from the landfill contaminated an underlying aquifer that was used as a town's drinking water supply. You are working for a lawyer who is planning to sue the engineer who designed the landfill. The lawyer believes she can win more money i court if the landfill leak did not occur during extremely heavy rainfall. As in Question 3, you may assume that there are only two circumstances under which the landfall will leak during a rainfall event (denoted here as Events 1 and 2, note that the probabilitie:s have been updated): E,-an extremely heavy rainfall and either poorly compacted clay or holes in the membrane (occurs with probability of 0.062) E2-not an extremely heavy rainfall and both poorly compacted clay and holes in the membrane (occurs with probability of 0.042) 0.40 Answer: is 0.40 but how?

Explanation / Answer

here for above

condition probability of not an extremely heavy rainfall given leak in landfill

=P(not extremely heavy rainfall and leak)/P(leak) =P(E2)/(P(E1)+P(E2)) =0.042/(0.062+0.042)=0.4038~ 0.40