Question

1. 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 41% of all constituents believe their representative possesses low ethical standards.
Suppose 50 of a representativeʹs constituents are randomly and independently sampled. Assuming the paperʹs
claim is correct, find the following probabilities.

1. Find the probability that at most 20 constituents sampled believe their representative possesses low ethical standards.   
   
   
2. Find the probability that exactly half of the group selected (25 constituents) believe their representative possesses low ethical standards.

2. 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 41% of all constituents believe their representative possesses low ethical standards.
Suppose 50 of a representativeʹs constituents are randomly and independently sampled. Assuming the paperʹs
claim is correct, find the following probabilities.

1. Find the probability that at least 30 of the selected constituents believe their representative possesses low ethical standards.

Answer 1