Hi, this is my first time The random variable X has known pdf f(x) (but it is

Hi, this is my first time 

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The random variable X has known pdf f(x) (but it is not specified in this problem). The X transformation y = g(x) is defined, and let the random variable Y be given by 1 + | x | Y =g(X). The goal here will be to determine the pdf fy(y) of the random variable Y in terms of the pdf f(x). Although not required, it would be very useful to plot the transformation either manually or using MATLAB in order to get a pictorial view of how values of one variable are mapping to values of another variable. 1. Are there values of y for which the transformation has no solution points? Specify what those values are. 2. For what range of values of are there solution points of the transformation and how many solution points are there? Specify the solution points (x expressed as a function of y ). The random variable X has known pdf f(x) (but it is not specified in this problem). The X transformation y = g(x) is defined, and let the random variable Y be given by 1 + | x | Y =g(X). The goal here will be to determine the pdf fy(y) of the random variable Y in terms of the pdf f(x). Although not required, it would be very useful to plot the transformation either manually or using MATLAB in order to get a pictorial view of how values of one variable are mapping to values of another variable. 1. Are there values of y for which the transformation has no solution points? Specify what those values are. 2. For what range of values of are there solution points of the transformation and how many solution points are there? Specify the solution points (x expressed as a function of y ).

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