According to a Department of Labor report, the city of Detroit had a 20% unemployment rate in May. Eight working-age residents were chosen at random. What is the probability that at least two of the residents were unemployed?
A) 0.1678
B) 0.3355
C) 0.4967
D) 0.5033

Question

Quizplus · Accepted Answer

The probability of at least two of the residents being unemployed is 1 - the probability of none of the residents being unemployed. The probability of none of the residents being unemployed is (1 - 0.2)^8 = 0.5033. Therefore, the probability of at least two of the residents being unemployed is 1 - 0.5033 = 0.4967.

According to a Department of Labor Report, the City of Detroit