Answer Happy

4) (5 points) In a certain school, 13% of the students are enrolled in a psychology course and 29% are enrolled in a foreign language course. Of those enrolled in a psychology course, 34% are enrolled foreign language course. What is the probability of a student enrolling in both a foreign language course and a psychology course? 5) (15 points) Congress is comprised of the House of Representatives and the Senate. Suppose that 22% are female (event F) and 78% of the members of Congress belong to the House of Representatives (event H). 15% of the members of Congress are female and belong to the House of Representatives. Suppose that S= Senate and M= Male. a) Complete the contingency table for the given probabilities. b) Given a member of Congress is female, what is the probability she serves in the Senate? c) What is the probability that a randomly selected member of Congress is male or in the House of Representatives?
5) (15 points) Congress is comprised of the House of Representatives and the Senate. Suppose that 22% are female (event F) and 78% of the members of Congress belong to the House of Representatives (event H). 15% of the members of Congress are female and belong to the House of Representatives. Suppose that S=S enate and M=Male. a) Complete the contingency table for the given nrohahilitios b) Given a member of Congress is female, what is the probability she serves in the Senate? c) What is the probability that a randomly selected member of Congress is male or in the House of Representatives? d) Are events F and H independent? Show it mathematically.