Please answer all these questions.

Prob/Stat Name: Period: 3) Suppose that 40% of adults like eating bananas while 60% like eating apples. Suppose also that 32% of adults like eating both. What is the conditional probability that a randomly selected adult likes apples given that they like bananas? Use a Venn Diagram to answer this question. 4) A statistics class has 18 juniors and 10 seniors in it. 6 of the seniors are females and 12 of the juniors are males. Build a contingency table to find the probability that a randomly selected student is: a) a junior or a female? b) a senior or a female? c) a junior or a senior? d) a female given that the student was a senior? 5) At a used-book sale, there are 120 children's books and 80 adult books available. 50 of the adult books are nonfiction while 40 of the children's books are nonfiction. All other books are fiction. Build a contingency table to find the probability that a randomly selected book is: a) fiction. b) not a children's nonfiction c) an adult book or children's nonfiction. d) a children's book given that it was nonfiction