Question

The relative frequency table below displays the distribution of annual total household income for a representative sample of 119,730,128 households. This data is from the 2018 American Community Survey. Less than $10,000 6.3% $10,000 to $14,999 4.6% $15,000 to $24,999 9.3% $25,000 to $34,999 9.3% $35,000 to $49,999 12.6% $50,000 to $74,999 17.5% $75,000 to $99,999 12.5% $100,000 to $149,999 14.6% $150,000 to $199,999 6.3% $200,000 or more 7.0% a) What is the probability that a random American household makes five figures (ie. $10,000 to $99,999)? % b) In a random sample of 9000 American households, how many would you expect to make five figures?

Answer 1

a). the probability that a random Ameriacn household makes five figure is :-

$=(4.6+9.3+9.3+12.6+17.5+12.5)\%$

= 65.8%

b).if a random sample of 9000 American households, number of household i will expect to make five figure is :-

$=9000*65.8\%$

$=9000*\frac{65.8}{100}$

$=\mathbf{5922}$

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.