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The purpose of this assignment is to describe the effects of various substances on consciousness, discuss the connection between substances and

The purpose of this assignment is to describe the effects of various substances on consciousness, discuss the connection between substances and neurotransmitters, identify short and long-term impacts

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Assume (x,Y) is a continuous bivariate random variable with the joint probability density function (PDF):

Assume (x,Y) is a continuous bivariate random variable with the joint probability density function (PDF): f_(x,Y)(x,y)={(0.5,|x|+|y|<1,),(0, otherwise. ):} Here, |z| is the absolute value of z : |z|={(z,z>=0,),(-z.,z<0.):} (a) Find the marginal PDF of x . (b) Define Z=x+Y . Find the cumulative distribution function (CDF) of Z . Name the distribution of Z and its parameters. (c) Now define W=|x|+|Y| . Find the CDF of W . Find the mean E(W) . This Assignment has been