Unformatted text preview: question. 3. (35 points) Let X be a uniform random variable over the real interval (0 , 1). DeFne Y : =ln(1X ) Î» . 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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 Fall '05
 BALAZS
 Normal Distribution, Probability, Variance, Probability distribution, Probability theory, probability density function, Cumulative distribution function

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