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. Income Total Percentage $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% a) What is the probability that a randomly chosen US resident makes less than $50,000 per year? (please round to four decimal places) b) What is the probability that a randomly chosen US resident makes less than $50,000 per year and is female? Assume these two variables are independent. (please round to four decimal places)

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help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working
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.
Income
Total Percentage
$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%
a) What is the probability that a randomly chosen US
resident makes less than $50,000 per year? (please
round to four decimal places)
b) What is the probability that a randomly chosen US
resident makes less than $50,000 per year and is
female? Assume these two variables are independent.
(please round to four decimal places)
Transcribed Image Text: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. Income Total Percentage $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% a) What is the probability that a randomly chosen US resident makes less than $50,000 per year? (please round to four decimal places) b) What is the probability that a randomly chosen US resident makes less than $50,000 per year and is female? Assume these two variables are independent. (please round to four decimal places)
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