Michelin Tires claims to have engineered a new & improved tread pattern for its all-weather tires. Tests were conducted where cars of the same model drove at the same speed of 55 miles per hour. Data from the driving tests showed that cars using the tires with the new tread pattern could stop completely in an average distance of 125 feet with a standard deviation of 6.5 feet. A graph of the data collected showed stopping distances are approximately normally distributed. (a) What is the probability that a randomly selected car has a stopping distance within one standard deviation of the mean? (b) What is the probability that a randomly selected car in the study will have a stopping distance of at least 130 feet? Sketch a graph of this situation and shade the appropriate region. (c) What is the probability that exactly 2 cars out of 5 randomly selected cars in the study will stop in a distance that is greater than 130 feet? Use your results from part (b)