1. (25 total points) There are 750 Jack Rabbits on a wildlife preserve. A sample of 70 Jack Rabbits are caught and tagged and returned to the population. Suppose that 25 Jack rabbits are caught. a. (5 total points) Find the mean and standard deviation of the number of tagged Jack Rabbits in the sample b. (5 total points) Find the probability that the sample contains at most 4 tagged Jack Rabbits. c. (8 total points) Suppose 10 years later the preserve wants to know the new size of the population of Jack Rabbits. They catch and tag 80 Jack Rabbits than released them. Later they catch 25 Jack Rabbits and find 5 are tagged. If the population size is estimated at 800, what is the probability of capturing 5 tagged animals in this sample of 25? d. (7 total points) Based on your answers in (c) and more investigation, is the estimated population size of 800 plausible? 2. (30 points) W