A law enforcement agency processes 500 background checks for firearms purchasers. Fifty applicants are convicted felons. Through a clerk’s error, ten applicants are approved without checking for felony convictions.
a What is the probability that none of the 10 is a felon?
b That at least two of the 10 are convicted felons?
c That fewer than 4 of ten are convicted felons?
d Justify the use of the binomial approximation.
