Answer
The residents have 10 most common names = 9.6% = 0.096
P(randomly selected resident will not have one of the 10 most common names) = 1 - 0.096
= 0.904
P(none of the names of authors will be among the 10 most common names) = $(0.904)^{9}$
= 0.403
Work Step by Step
As given above