A pencil company has four extruders for making pencil lead. The probability of each machine breaking down on a single day is 0.3, and each breakdown is independent. (a) (2 points) What is the probability that all 4 extruders go down on one day? (b) (2 points) What is the probability that 2 or more extruders are down? (c) (3 points) What is the mean number out of operation? (d) (3 points) What is standard deviation of the number out of operation? (e) (2 points) Assuming an average cost of $500 to repair a machine then what is the expected daily cost of maintenance?