IND ENG 173Practice First Midterm SolutionsIntroduction to Stochastic ProcessesFebruary 12, 2017Prof. Mariana Olvera-CraviotoPage 1 of 5Practice First Midterm ExamPlace all answers on the question sheet provided. The exam is open textbook and open notes/handouts/homework.You are allowed to use a calculator, but not a computer or a smartphone. Write all answers clearly andin complete sentences. All answers should be supported by analysis or an argument. This exam has atotal of 100 points, and is meant to be completed in 1.25 hours.1. A bag contains three coins, a fair coin, a coin with two heads, and a coin with two tails. Wedraw a coin at random from the bag and flip itktimes. LetNbe the number of heads inthekflips, and letQdenote the probability of heads of the randomly selected coin.(a)[10 pts]ComputeE[Q] andE[Q2].
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