A Baby Tests Negative by Newborn Screening for Cystic Fibrosis

A baby tests negative by newborn screening for cystic fibrosis mutations using a mutation panel that will detect 70% of mutations in this population.If there is a carrier frequency of 1/50 in this population,what is the probability that the baby is a mutation carrier?

A) 1/333
B) 1/164
C) 1/111
D) 1/71
E) 1/36