Problems 8A, B, C, 9, and 10

8. New Kaiser Permanente research published in "Nature Medicine" shows that Modern COVlD-19 vaccine is 72% effective against omicron infection. If 4 people are from this group are randomly selected, find the probability of each: a) The vaccine was effective in all 4. The vaccine was effective for none of the 4. The vaccine was effective for at least one person. 9. Credit Risks: The FIGO score is commonly used as a credit rating. There l5 a 1% delinquency rate among consumers who have a FICO score above 800. If four consumers with FICO scores of 800+ are randomly selected, find the probability that at least one of them becomes delinquent. 10. Job Placement: A study conducted at a certain college shows that 52% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 8 randomly seiected graduates, at least one finds a job in his or her chosen field within a year of graduating