Problem 3. {10 pts.) Elections. To head the newly formed US Dept. of Statistics, suppose that 50% of the population supports Erika, 20% supports Ruthi, and the rest are split between Peter, Jon and Jerry. A poll asks 400 random people who they support. (3) Use the central limit theorem to estimate the probability that at least 52.5% of those polled prefer Erika? (1)) Use the central limit theorem to estimate the probability that less than 25% of those polled prefer Peter, Jon or Jerry