The study found that of 106 social robots, 63 were built with legs only, 20 with wheels

Question:

The study found that of 106 social robots, 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. Suppose you randomly select 10 of the 106 social robots and count the number, x, with neither legs nor wheels.
a. Demonstrate why the probability for x should not be approximated by the binomial Show that the properties of the hyper geometric probability are satisfied for this experiment.
c. Find μ and σ for the probability for x.
d. Calculate the probability that x = 2.
For Information: Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of the trend in the design of social robots, Exercise 4.25.
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