Part II. Problem solving (Show all you essential work for partial credits 20 Points each) 1. Nine percent of men cannot distinguish between the colors red and green. This is the type of color blindness that causes problems with traffic signals. Suppose that ten men are randomly selected for a study of traffic signal perceptions. Let x be the number of men who cannot distinguish between red and green, among the ten randomly chosen men. (a) Verify that this is a binomial experiment and identify n, x, p, and q (b) What is the probability that exactly 3 of ten chosen men who cannot distinguish red and green? (c) What is the probability that at least 8 of the ten chosen men who cannot distinguish red and green? (d) Would it be unusual if 8 of the 10 chosen men who cannot distinguish red and green? What does this result suggest?