Abookstore rents books to students for $2 per book. the cost of running the bookstore is $200 per hour. the numbers of books and the probabilities that the bookstore would rent them in an hour mimics the distribution of the outcomes of flipping four coins. the probability of renting a number of books was observed to be the same as the number of heads that appear on a four coin flip. this distribution is represented in the table. 0-1/16 1-4/16 2-6/16 3-4/16 4-1/16 how many books would the store need to sell per hour to break even? show your work.

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.)