An Eveleth, MN magazine (Vol 123456) asked K-Street lobbyists about their yearly income. The magazine found the average yearly income for lobbyists with 4 years of experience was $122,000 dollars. The population standard deviation was $41,000. i) If you choose a single random income, what is the probability that the income is between $115,198 and $116,898? (Round to 4 decimal places.) ii) If you take a random sample of size n=93, what is the probability the sample has an average income between $115,198 and $116,898? (Round to 4 decimal places.)