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 45% of all constituents believe their representative possesses low ethical standards.Suppose 20 of a representativeʹs constituents are randomly and independently sampled. Assuming the paperʹsclaim is correct, find the probability that more than eight but fewer than 12 of the 20 constituents sampledbelieve their representative possesses low ethical standards.
A) 0.454929
B) 0.295579
C) 0.689728
D) 0.889609 3 Compute the mean and standard deviation of a binomial random variable.

Question

Quizplus · Accepted Answer

The probability that more than eight but fewer than 12 constituents believe their representative possesses low ethical standards can be calculated using the binomial probability formula. Given n = 20, p = 0.45, we calculate P(9 ≤ X ≤ 11) which results in approximately 0.454929.

A Recent Article in the Paper Claims That Government Ethics