Plz help with both!

20. DETAILS ABROA MY NOTES ASK YOUR TEACHER A large taxi company in a major U.S. city keeps track of the distance traveled on each fare. Suppose that the distribution of distance per fare is normally distributed with mean 12 miles and standard deviation 3.0 miles. (a) Find the mean (in miles) of the sampling distribution of the mean distance per fare for a sample of 16 fares. mi (b) Find the standard deviation (in miles) of the sampling distribution from part (a). mi (c) Fill in the blanks. --Select-- v. If the sample size increases to 25 fares, the probability that the mean distance is between 11 and 13 miles will --Select- ) , because the standard deviation of the sampling distribution of the mean distance will 21. DETAILS MY NOTES ASK YOUR TEACHER The amount of annual property taxes paid per household in a metropolitan area is known to follow a normal distribution with mean $15,000 and standard deviation $6,000. A simple random sample of 25 households is selected. I USE SALT (a) Find the mean of the sampling distribution of the mean annual property taxes paid by a sample of 25 households in this metropolitan area. HX =$ (b) Find the standard deviation of the sampling distribution from part (a). $ (c) Find the probability that the sample mean will exceed $16,200. (Use a table or technology. Round your answer to two decimal places.)