A Recent Article in the Paper Claims That Government Ethics

Multiple Choice

A recent article in the paper claims that government ethics are at an all-time low. Reporting on a recent sample, the paper claims that 31% of all constituents believe their representative possesses low ethical standards. Suppose 20 of a representative's constituents are randomly and independently sampled. Assuming the paper's claim is correct, find the probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards.

A) 0.257174
B) 0.176107
C) 0.090085
D) 0.127128