What is the answer with good explanation for part 2/5 ?

Government workers: The Bureau of Labor Statistics reported that 15% of U.S. nonfarm workers are government employees. A random sample of 35 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 appropriate to use the normal curve, since np - 5.25 10. Part 2 of 5 X (b) A new sample of 100 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 | 0.5552