Income and gender. The relative frequency table below displays the distribution of annual total personal income (in 2009 inflation-adjusted dollars) for a representative sample of 96,420,486 Americans. These data come from the American Community Survey for 2005-2009. This sample is comprised of 59% males and 41% females.63
(a) Describe the distribution of total personal income.
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(b) What is the probability that a randomly chosen US resident makes less than $50,000 per year?
(c) What is the probability that a randomly chosen US resident makes less than $50,000 per year and is female? Note any assumptions you make.
(d) The same data source indicates that 71.8% of females make less than $50,000 per year. Use this value to determine whether or not the assumption you made in part (c) is valid.
$1 to $9,999 or loss 2.2% $10,000 to $14,999 4.7% $15,000 to $24,999 15.8% $25,000 to $34,999 18.3% $35,000 to $49,999 21.2% $50,000 to $64,999 13.9% $65,000 to $74,999 5.8% $75,000 to $99,999 8.4% $100,000 or more 9.7%