Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of the trend in the design of social robots, Exercise 2.7

(p. 66). Recall that in a random sample of 106 social (or service) robots designed to entertain, educate, and care for human users, 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. One of the 106 social robots is randomly selected, and the design (e.g., wheels only) is noted.

a. List the sample points for this study.

b. Assign reasonable probabilities to the sample points.

c. What is the probability that the selected robot is designed with wheels?

d. What is the probability that the selected robot is designed with legs?