If X is uniformly distributed over (0,1), find the density function of Y = ex.
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Q: fx(x) = (2) c² (0.95)³-²1{1,2,3,4,5) (2) a. с fx(x) = 2x +4¹(0-2)(x) b.
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- Let f(x) is density function then J f(x)dx = 1 صوابSuppose that an automobile dealer pays an amount X (in thousands) for a used car and then sells it for an amount Y. Suppose that X and Y have the joint density fxy (x, y) = for 0 < x < y < 6. The dealer's expected profit (in thousands) from the sale is equal toDo correctly and completely...thank u Need asap
- Let A > 0. Suppose (X, Y) has joint probability density function given, for all x, y E R, by 3. fx,y(x, y) = { Ay exp(-y(x+ A)), if a 2 0 and y > 0 0, otherwise. (i) Calculate the marginal density of Y. (ii) Let y > 0. Find the the conditional probability density function of X given Y = y. Interpret your answer. (iii) Calculate E[X|Y] and prove that E[X] = +oo. Hint: You can use without a proof that -dy = +oo. %3DThe joint probability function of random variables X and Y is given to be: 3x- y 15x<41Now, assume that Y₁,..., Yn distributed iid, each with density -{* where is positive constant. Find the density function for fy) (y). fy(y) = e-(-0), 0, if y> 0; otherwise,A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let X be the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is fo fkr², if 02. Consider the joint density function 16M f(x,y) = {#, z> 2,0Suppose X and Y have joint density f(x,y)=10x2y, 0<y<x<1. Find the marginal density of X.Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON