Part 2 Free Response Questions Write a response to each part of every question. Always justify your answer with vocabulary and statistical ideas. 12. In a report to the department of transportation of a western state, a large trucking firm stated that the distribution of weights of its fully loaded tractor trailer trucks is approximately normal with a mean of 19,016 pounds and a standard deviation of 2,324 pounds. a) Find the proportion of trucks that weigh more than 17,500 pounds . 6026 17 30 19,016 b) Find the weight of a truck in the top 30th percentile c) If all trucks were required to carry a 35 pounds safety kit, what would the new mean and standard deviation be? d) This trucking company buys a new fleet of trucks. While the mean weight is the same, the owners note that the standard deviation for weight is different. They note that the lightest 20% of all trucks all weigh below 18,000. What is the standard deviation for this fleet of trucks