Delinquent AccountsPolk”s Department Store has observed that 80% of its charge accounts have men”s…

Delinquent Accounts

Polk’s Department Store has observed that 80% of its charge accounts have men’s names on them and that 16% of the accounts with men’s names on them have been delinquent at least once, while 5% of the accounts with women’s names on them have been delinquent at least once. What is the probability that an account selected at random

(a) is in a man’s name and is delinquent?

(b) is in a woman’s name and is delinquent?