Please help me with these questions

W A random sample of 500 U.S. adults was selected. Each member of the sample was asked if he/she was a high school graduate, and if he/she was a homeowner. The following two-way table summarizes the results. High school graduate Yes No Total Yes 221 119 340 Homeowner No 89 71 160 Total 310 190 500 a. Show all steps to find if being a homeowner and being a high school graduate are independent. [5] b. Represent the data on a Venn diagram. [5]1 In a math class of 50 students, 40 of students passed a quiz 30 of the students use the print textbook 25 of the students who use the print textbook, passed the quiz. The following events are defined: Q: student passed the quiz T: Students uses the print textbook a. Crate a two-way table to represent this data. b. Find the following probabilities. P(Q| T) = P(Q | TC) = C. Are the events Q and T independent? Explain your answer.A certain virus infects 10% of people. A test used to detect the virus gives a positive or negative result. The test results are positive 80% of the time if the person has the virus. For people who do not have the virus, the test results are positive 5% of the time. The following events are dened: V = person has the virus T = the test is positive a. Complete the following probability tree diagram for this data. [5] Postive test Infected