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ifiotdedepleamning di datsmachine vrartificialintelligencedx Suppose X,Y, and Z are three different random variables. Let X obey a Bernoulli Distribution. The probability mass function for X

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ifiotdedepleamning di datsmachine vrartificialintelligencedx Suppose X,Y, and Z are three different random variables. Let X obey a Bernoulli Distribution. The probability mass function for X is: p(x)={0.70.3x=cx=c where c is a nonzero constant. Let Y obey the Standard Normal (Gaussian) Distribution, which can be written as YN(0,1). X and Y are statistically independent (i.e. P(XY)=P(X) ). Meanwhile, let Z=XY Calculate the covariance of Y and Z (i.e. Cov(Y,Z) ). Do values of c affect the covariance between Y and Z?[5pts]

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