4. A survey of U5. citizens is taken. 5 Let 1J__= a person is under age 12 ' A__= a person is at least 21 1'___= a person has traveled outside the U5. An extensive survey of U.S. citizens is taken. Consider the Venn Diagram shown above. a. The total of the shown probabilities Is not equal to 1 because (check one) there is overlap between events the sample space does not have to total to 1 there are people in the sample space who are not in any of the 3 given events there are some U.S. citizens who have traveled outside the U.5. who are not shown b. Which two events are mutually exclusive? (circle one) U and A U and T A and T none are mutualiy exclusive A c. Put a check mark next to ALL of the statements that are TRUE pertaining to U.S. citizens: Some people have not traveled outside the U5. Some people who are at least 21 have traveled outside the us. Some people under age 12 are at least 21. If a person has traveled outside the U.S., they cannot be under age 12. If a person is at least 21 they cannot be under age 12. llll Write the probability statement in symbols and nd the probability for each of the following. Assume that each person described Is a U5. citizen. d. Find the probability that a person e. Find the probability that a person is has not traveled outside of the U.S. either under age 12 or at least 21. f. Find the probability that a person is at least 21 or has traveled outside the U5