Unformatted text preview: chosen at random. Find the cumulative distribution function of L , the longer of the two pieces that result. (Hint: Let X be the position of the break. Then X is uniformly distributed on [0,1].) Problem 4. (5 points) Let X have the bilateral exponential density: f ( x ) = 1 2 e x  ,∞ < x < ∞ . Find the density of X 2 using the cumulative distribution function method. Problem 5. (6 points) Let X and Y be i.i.d, each having as density function the Cauchy density 1 π 1 1 + x 2 . Find the joint density function of U = 2 X + Y and V = Y. 1...
View
Full Document
 Spring '08
 Staff
 Normal Distribution, Probability, Probability theory, probability density function, Cumulative distribution function

Click to edit the document details