Answer Happy

2. (a) In the annual recruitment exercise of a large commercial company, all applicants are required to go through two tests which include a written test and an oral interview in the screening stage. The failure rates for the written test and the oral interview are 85% and 80% respectively, and 75% applicants fail both tests. Only those applicants who pass both tests in the screening stage will be invited for a final interview. Offers of employment are made to 25% of those invited for the final interview. i. Find the probability that a randomly selected applicant is invited for the final interview. [3 marks] ii. Find the probability that a randomly selected applicant passes the written test or passes the oral interview but is not invited for the final interview. [2 marks iii. Find the probability that a randomly selected applicant passes the oral interview knowing that he/she has passed the written test. [2 marks] iv. Find the probability that only one of ten randomly selected applicants is offered employment [3 marks