12. Assume that female golden retrievers have weights that are normally distributed with a mean of 75 pounds and a standard deviation of 12.5 pounds. a. If one adult female golden retriever is randomly selected, find the probability that her weight is less than 82 pounds. b. If 25 adult female golden retriever are randomly selected, find the probability that they have a weight with a mean greater than 80 pounds. 13. An aviation engineer is tasked with redesigning an ejection seat for a fighter plane. The seat was designed for pilots weighing between 120 and 171 pounds. The new population of pilots has normally distributed weights with a mean of 125 pounds and a standard deviation of 29.8 pounds. a. If one pilot is randomly selected, find the probability that her weight is between 120 and 171 pounds