In a video (pictured above) I was click-baited into watching, there is an interesting statistic that "1 in every 5 Americans either has had or knows someone who has had bed bugs." In an article that I read, the average American knows 600 people. I will use the assumption that each person knows 100 "famous people," none of which have or have had bed bugs. Given these two facts, how could one calculate the number of Americans who actually have bed bugs assuming that every person knows exactly 500 people and each individual is known by 500 other individuals.
Bonus: how would the results change if the number of people who know a random person was a skewed right distribution with a mean of 500?