B. A manufacturing process has four independently-operating alarm systems, each with the goal of identifying dangerous levels of toxic compounds in the ambient atmosphere. The probability of failure for each system is .08. Show all your work using the appropriate formula, giving answers to at least 5 decimal places. Feel free to use your calculator functions to check your work. 1. Find the probability that none of the systems fail during a particular contamination episode. Next, find the probabilities that 1, 2, 3, or all 4 fail. Present all of the probabilities in a table, as we've done in class. 2. For any one particular alarm system, what is the mean number of contamination episodes until it fails?