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Unformatted text preview: question. 3. (35 points) Let X be a uniform random variable over the real interval (0 , 1). DeFne Y : =-ln(1-X ) λ . Compute the probability density function of Y . What type of distribution does Y have? (Remark: this is the way a computer can generate this type of random variable. This is also the way one can generate this distribution using a simple calculator equipped with an RND button.) 4. (45 points) We break a stick at two random, uniformly and independently chosen points. What is the probability that considering the three parts obtained as edges, a triangle can be assembled? Please turn over for the standard normal distribution....
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This note was uploaded on 08/11/2008 for the course MATH 431 taught by Professor Balazs during the Fall '05 term at Wisconsin.
- Fall '05