Question 5.81

fairfaxincome

81. Fairfax County Income. The following table contains a probability model for the distribution of income in Fairfax County, Virginia.

  1. Use technology to draw random samples of sizes 10, 100, 1,000, and 10,000 from this probability model.
  2. What can you conclude about the relative frequencies as the sample size increases?
Annual income Probability
Under $25,000 0.083
$25,000 to $49,999 0.166
$50,000 to $74,999 0.169
$75,000 to $99,999 0.160
$100,000 to $149,999 0.200
$150,000 or more 0.222

5.1.81

(a) Answers will vary. (b) As the sample size increases, the relative frequencies approach the probabilities.