Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040 . Assume Espanol that the standard deviation is $4700 . The IRS plans to draw a sample of 1000 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 $8200 ? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $8200 is. X Part 2 of 5 (b) What is the probability that the sample mean tax is between $7600 and $7900 ? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7600 and $7900 is. X Part 3 of 5 (c) Find the 80' percentile of the sample mean. Round the answer to at least two decimal places. The 80 ' percentile of the sample mean is $. 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) V unusual because the probability of the sample mean being less than $7700 X 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) V , because the probability that an individual to pays a tax less than $7700 is. X Continue Submit Assignment