Problem 3. Probability. (5 pts) Most cereal in the US is made by three companies: Kellogg's, General Mills, and Post. These companies respectively account for 40%, 35%, and 25% of all boxes of cereal on US shelves. A national grain distributor experiences a salmonella outbreak that results in the recall of 15%, 25%, and 50% of each company's cereal respectively. If a given box of cereal is known to be recalled, what is the probability that it was manufactured by Post