In tropical regions, caterpillars suffer extremely high parasitism, sometimes as high as 15% per day. In other words, a caterpillar is attacked by a parasitoid with probability 0.15 each day. If a caterpillar takes 25 days to develop, what is the probability it survives? If a female lays 50 eggs, about how many would survive? How much lower would the parasitism rate have to be for 2 out of the 50 caterpillars to survive?