Unformatted text preview: person is tested negative, what is the chance that the person has no disease? Problem 3: Suppose we roll a biased die, the probability mass function is p (1) = . 1, p (2) = . 1, p (3) = . 1, p (4) = . 2, p (5) = . 2, and p (6) = . 3. Let X be the random number we get by rolling this die. (1) Calculate Pr( X > 4). (2) Calculate E( X ). (3) Suppose the rewards for the six numbers are respectively h (1) =$20, h (2) =$10, h (3) = $0, h (4) = $10, h (5) = $20, and h (6) = $100. Please calculate E[ h ( X )]. (4) Please interpret E( X ) and E[ h ( X )] in terms of long run averages. 1...
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 Winter '10
 CRISTOU
 Probability, Probability theory, person, Randomness, Probability mass function, randomly selected person, STAT 100A HWIII

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