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 $4800. The IRS plans to draw a sample of 1010 tax returns to study the effect of a new tax law. part 1 of 5 (a) What is the probability that the sample mean tax is less than $8100 ? Round the answer to at least four decimal places. The probability that the sample mean tax is less than X 5 $8100 is. Part 2 of 5 (b) What is the probability that the sample mean tax is between $7400 and $8000? Round the answer to at least four decimal places. The probability that the sample mean tax is between X $7400 and $8000 is. Part 3 of 5 (c) Find the 40" percentile of the sample mean. Round the answer to at least two decimal places. The 40" percentile of the sample mean is S. X Part 4 of 5 (d) Would it be unusual if the sample mean were less than $7700? Round answer to at least four decimal places. It (Choose one) | unusual because the probability of the X sample mean being less than $7700 is . Part 5 of 5 (e) Do you think it would be unusual for an individual to pay a tax of less than $7700? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. (Choose one) , because the probability that an X individual to pays a tax less than $7700 is (]