A manufacturing firm finds that 80% of its new hires turn out to be good workers and 20% become poor workers. All current workers are given a reasoning test. Of the good workers, 70% pass it: 40% of the poor workers pass it. Assume that these figures will hold true in the future. If the company makes the test part of its hiring procedure and only hires people who meet the previous requirements and also pass the test, what percent of the new hires will turn out to be good workers? The percent of new hires that will be good workers is %%. (Round to the nearest tenth.) Of all the people applying for a certain job, 75% are qualified and 25% are not. The personnel manager claims that she approves qualified people 70%% of the time; she approves unqualified people 30% of the time. Find the probability that a person is qualified if the person was approved by the manager. The probability is]. (Type an integer or decimal rounded to four decimal places as needed.) A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 80% of the bags from A arrive undamaged, while 90% of the bags from B arrive undamaged. Find the probability that an undamaged bag is from supplier B. The probability is (Type an integer or decimal rounded to four decimal places as needed.)