For 1&2 can show work step by step

1. The unemployment rate in America is 3.71%. In a sample of 870,000 Americans how likely is it less than 3.39% would be unemployed? 8 points What checks are used to solve the problem above? 2 points a. Central Limit Theorem b. Binomial Distribution is Approximately Normal c. Normal Distribution Theory d. No checks are needed e. None of the above If 3.39% of 870,000 Fort Worth residents were unemployed what would you conclude? 2 points a. Fort Worth residents are less likely to be unemployed than all Americans b. Fort Worth residents are more likely to be unemployed than all Americans c. Fort Worth residents are close to as likely to be unemployed as other Americans d. Cannot be determined - Did not pass checks e. None of the above 2. A town in Texas has determined the commute time for its residents is normally distributed with a mean of 26.6 minutes and a standard deviation of 8.8 minutes. a. How likely is an individual commute to be over 15 minutes in this town? 6 points b. How likely is it 500 commutes will average over 15 minutes in this town? 8 points a b