Government workers: The Bureau of Labor Statistics reported that 15% of U.S. nonfarm workers are government employees. A random sample of 50 workers is drawn. Use the TI-84 Plus calculator as needed. Part 1 of 5 (a) Is it appropriate to use the normal approximation to find the probability that less than 25% of the individuals in the sample are government employees? If so, find the probability. If not, explain why not. It is not Part 2 of 5 appropriate to use the normal curve, since np: 7.5 < = 10. (b) A new sample of 95 workers is chosen. Find the probability that more than 20% of workers in this sample are government employees. Round the answer to at least four decimal places. We conclude that the probability that more than 20% of workers in this sample are government employees is 0.08616 Part 3 of 5 (c) Find the probability that the proportion of workers in the sample of 95 who are government employees is between 0.14 and 0.16. Round the answer to at least four decimal places. We conclude that the probability that the proportion of workers in the sample who are government employees is between 0.14 and 0.16 is