Exhibit 5-12.According to a Department of Labor report,the city of Detroit had a 20% unemployment rate in May of 2011 (Bureau of Labor Statistics,May,2011).Eight working-age residents were chosen at random. Refer to Exhibit 5-12.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 them being unemployed. The probability of none of them being unemployed is (1 - 0.2)^8 = 0.5033. Therefore, the probability of at least two of them being unemployed is 1 - 0.5033 = 0.4967.