quiz4 - X . 3. (2 pts) Determine the value of E( X ), the...

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Quiz 4. September 29, 2010 Seat # _________ Name: _________________________ Closed book and notes. No calculators. Remember. You do not need to simplify answers. Consider flipping a coin twice, independently. For i = 1, 2, let H i denote that flip i results in "heads" facing up. Let X denote the number of flips that results in "heads" facing up. Then P( X = 0) = 1 / 4, P( X = 1) = 1 / 2, and P( X = 2) = 1 / 4. 1. (2 pts) Write f X , the probability mass function (pmf) of X . 2. (2 pts) Write F X , the cumulative distribution function (cdf) of
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Unformatted text preview: X . 3. (2 pts) Determine the value of E( X ), the expected value of X . 4. (2 pts) Determine the value of E( X 2 ), the expected value of X 2 . 5. (2 pts) Determine the value of P( X 2 = 4). ______________________________________________________________________ Ask yourself: Can you write the event X = 2 in terms of H 1 and H 2 ? Write on the back any concerns about the weekly quizzes or the course in general. IE 230 Page 1 of 1 Schmeiser...
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