Question: ( 10 points) A continuous random variable X satisfies normal distribution XN(5,9). Another continuous random variable Y satisfies Y=-2X+6. a. Determine Y 's density function

( 10 points) A continuous random variable X satisfies normal distribution XN(5,9). Another continuous random variable Y satisfies Y=-2X+6. a. Determine Y 's density function p_(Y)(y). b. Calculate E[Y] and D[Y]. c. Calculate the covariance Cov(X,Y) and correlation coefficient rho_(XY)

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