QuestionTaxes: 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 1000 tax returns to study the effect of a new tax law.
Part: $0 / 5$ $\square$
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 $\$ 8100$ is $\square$ .