Bonus: (5 points) The makers of a plant-based hamburger claim that its taste is indistinguishable from the taste of a beef hamburger. To investigate, a student prepared small samples of each type of hamburger on identical plates. Then he had volunteers taste each hamburger in random order and try to identify which was the plant-based hamburger and which was the beef hamburger. If we assume that the volunteers couldn't tell the difference, each one was guessing, with a 1/2 change of being correct. Let X = the number of volunteers who correctly identified the hamburgers. Of the 20 volunteers, 15 made correct identifications. Does this give evidence that the volunteers can taste the difference between the plant-based and beef hamburgers? Compute P(2 15) with technology and use this result to support your answer. Probability Applet WE