4. A study of immunizations among school-age children in California found that some areas have rates of unvaccinated school-age children as high as 12.5%. Let X be the number of children not vaccinated in a randomly selected classroom of 40 children in one such area. (a) What is the appropriate distribution of random variable X? (b) What is the probability that there are at most three unvaccinated children in a classroom of 40? (c) What is the probability that there is at least one unvaccinated child in a classroom of 40?

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