Compute Probabilities of Binomial Experiments

Compute Probabilities of Binomial Experiments
-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 42% of all constituents believe their representative possesses low ethical standards. Assume that responses were randomly and independently collected. A representative of a district with 1,000 people does not believe the paper s claim applies to her. If the claim is true, how many of the representative s constituents believe the representative possesses low ethical standards

A) 420
B) 42
C) 580
D) 958