STATISTC 515 Midterm: STATS 515 UMass Amherst S515.Fall16.Midterm1.DRAFT

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31 Jan 2019
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In problems that require reasoning, algebraic calculation, or the use of your graphing calculator, it is not su cient just to write the answers. You must explain how you arrived at your answers, show your algebraic calculations: students attending a particular state university can select from 130 major areas of study. A student"s major is identi ed in the registrar"s records with a two- or three-letter code. Some students opt for a double major and complete the requirements for both of the major areas before graduation. 2: (a) if a and b are two mutually exclusive events and p (b) > 0, show that. P (a) + p (b) (b) if a and b are independent sets, show that a and b are also independent. Hint: you may also use a venn diagram to facilitate your calculations. (c) suppose a and b are two events such that p (a) = . 8 and p (b) = . 7.