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Unformatted text preview: ISyE 2027B, Fall 2010 Probability with Applications Dr. Polly B. He Practice Final Exam You have 2 hours and 50 minutes to complete the exam. In order to get partial credit, you should show clearly the steps of your work. Leave your answer in the form of e- 1 , ( 5 3 ) , etc . Problem 1 (10 points) For each of the following statements, indicate whether it is true or false. If it is false, explain in one sentence why it is false. (1) An event is not always a subset of the sample space. (2) There is a 50% chance of rain today and a 50% chance of rain tomorrow. Therefore, there is a 100% chance of rain either today or tomorrow. (3) When you toss a fair coin repeatedly, if heads have come up 6 times in a row, then tail is more likely to appear in the 7th toss. (4) Given two random variables X and Y , if X and Y are uncorrelated, then they are independent. (5) Given a random variable X , if X is not continuous, then it must be discrete....
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- Fall '08
- Probability theory, probability density function