just part two of these

A sample of size 50 will be drawn from a population with mean 10 and standard deviation 8. Use the TI-83 Plus/TI-84 Plus calculator. (a) Find the probability that ; will be less than 8. Round the answer to at least four decimal places. The probability that ; will be less than 8 is 0.0385 . (b) Find the 65th percentile of E. Round the answer to at least two decimal places. Watch your cholesterol: The mean serum cholesterol level for US. adults was 201, with a standard deviation of 40.8 (the units are milligrams per deciliter). A simple random sample of 109 adults is chosen. Use Excel. Round the answers to at least four decimal places. (a) What is the probability that the sample mean cholesterol level is greater than 208? The probability that the sample mean cholesterol level is greater than 208 is 0.0366 . (b) What is the probability that the sample mean cholesterol level is between 193 and 199? The probability that the sample mean cholesterol level is between 193 and 199 is E]. Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4500. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. (a) What is the probability that the sample mean tax is less than $7800? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $7800 is 0.0458 . (b) What is the probability that the sample mean tax is between $7400 and $7900? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7400 and $7900 is E]. High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2557. Assume the standard deviation is $486. A real estate rm samples 86 apartments. Use Excel. (a) What is the probability that the sample mean rent is greater than $2627? Round the answer to at least four decimal places. X The probability that the sample mean rent is greater than $2627 is 0.9090 . Correct Answer: (b) What is the probability that the sample mean rent is between $2426 and $2515? Round the answer to at least four decimal places. Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 46, with a standard deviation of 34. A pollster draws a sample of 90 people to interview. (a) What is the probability that the sample mean income is less than 41? Round the answer to at least four decimal places. The probability that the sample mean income is less than 41 is 0.0814 . (b) What is the probability that the sample mean income is between 42 and 47? Round the answer to at least four decimal places. The probability that the sample mean income is between 42 and 47 is E]