3. the weights of apples in a shipment from al's orchards are normally distributed with a mean of 142 grams and a standard deviation of 9 grams. the weights of apples in a shipment from zippy's orchards are normally distributed with a mean of 165 grams and a standard deviation of 13 grams.
a rotten apple has a mean of 156 grams. was it more likely to come from al's or from zippy's? use z-scores to explain. 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.)