12. A student is doing an experiment to determine Wh.'?.t.h..9.0.9 salamanders are attracted to - their own scent marking. He places each of 50 salamanders in a box that has-3 exit tubes. Filter paper containing their own scent is randomly placed in one of the 3 exit tubes. Even if the salamander cannot smell their own scent, they will move into the arm of the maze that contains their scent 1 out of 3 times by random chance (P = 0.33 if salamanders are not attracted to their own scent). The student observes that X = 25 out of 50 salamanders moved into the arm of the maze that contained their own scent marking. He wants to determine the probability P [X 3 25 if n = 50 and P = 0.33]. a. Describe the sampling distribution ofB under the assumption that salamanders are NOT attracted to their own scent marking, including center, spread, and shape. Center: E (6 ): Spread: of: Shape: b. Based on this description, scale the X-axis sampling distribution of P on the right and shade the area that corresponds to P [ 33 0.50]. I c. Use this sampling distribution and the Standard Normal Table to determine the probability P [p 3 0.5 |