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5. Give your own example of a question that can be answered with (a) the classical interpretation of probability, (b) the frequentist interpretation of probability. 6. Give your own example of a question that cannot be answered by the classical or frequentist interpretations of probability. 7. What is "probability," according to mathematicians? &. You use your calculator to compute the probability of an event. Match the number your calculator displays with a reasonable response. a. 0.2 i. certain to happen b. 0.5 ii. certain not to happen C. O iii. almost certain d. 1 i. as likely as not to happen e. -1 v. may happen f. 0.99 vi. almost certain not to happen g. 2.15x10-6 vii. something is wrong with my calculation h. 3 9. You are in a room with twelve other people. Everyone in the room puts their name on a piece of paper, and these are dropped in a hat. You pull one of the pieces out randomly-what is the probability it has your name on it? 10. You and a friend both audition for a play. Rank the events from least likely to most likely. (If you need more information, explain.) (a) At least one of you get a part, (b) both of you get a part, (c) one of you gets a part but not the other. 11. What has a greater chance to fail-a set of components connected in sequence or a set of components connected in parallel? 12. Describe a scenario analogous to components connected in sequence, and of components connected in parallel. 13. Can a system consist of both parallel and sequential connections