A factory employs several thousand workers, of whom 35% are Hispanic. If the 17 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n = 17 and p = 0.35. (a) What is the mean number of Hispanics on randomly chosen committees of 17 workers? (b) What is the standard deviation σ of the count X of Hispanic members? (c) Suppose that 10% of the factory workers were Hispanic. Then p = 0.1. What is σ in this case? What is σ if p = 0.01? What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to 0? As p decreases, σ decreases. As p increases, σ increases. As p increases, σ decreases. As p decreases, σ increases.