Mary is deciding whether to book the cheaper flight home from college after her final​ exams, but​ she's unsure when her last exam will be. She thinks there is only a 10​% chance that the exam will be scheduled after the last day she can get a seat on the cheaper flight. If it is and she has to cancel the​ flight, she will lose ​$200. If she can take the cheaper​ flight, she will save ​$50.   ​a) If she books the cheaper​ flight, what can she expect to​ gain, on​ average? ​b) What is the standard​ deviation?

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