A pencil manufacturer produces 143220 pencils in 55 days. Each day, they manufacture the same number of pencils and deliver those pencils to 7 local schools. Each school receives the same amount of pencils. The pencils are delivered in cases. Each case holds a total of 124 pencils. How many cases are delivered to each school in the month of January?

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)