2. (13 points) Assume that a research economist determines that 40% of businesses fail within their first year of operation. A small random sample of 15 businesses is taken, where each business's success or failure is independent of that of the other businesses. Answer the following questions. a) What is the probability that 10 businesses fail within their first year? b) What is the probability that at least 1 business fails within its first year? c) What is the mean number of businesses that fail within their first year