Suppose a team of biologists has been studying the pinedale children's fishing pond. let x represent the length of a single trout taken at random from the pond. this group of biologists has determined that the length has a normal distribution with mean of 10.2 inches and standard deviation of 1.4 inches. a. what is the probability that a single trout taken at random from the pond is between 8.5 and 12 inches long ? b. what are the mean and standard deviation of the mean length of a trout in the pinedale children's fishing pond for a simple random sample of 40 trouts. c. what is the probability that the mean length x of 40 trouts taken at random is between 8.5 and 12 inches? d. would your method of answering (a) or (c) be affected if the distribution of the trouts length in the pinedale children's pond were distinctly nonnormal (for example, if they were skewed? ) explain which parts could be answered the same way, which could not, and how you know.