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Consider the random variable X...

I have a statistic question, based on marginal probability. Consider the random variable X and its probabilty density function:

xi -4 -2 0 1 3

f(xi) 0.2 0.3 0.1 0.2 0.2

A second random variable is given by Y = 2X. Which of the following statements is true?The variance of X is equal to 6.04 and the covariance between X andY is 12.8.The conditional probabilities are f(y3 | x4) = 0, f(y3 | x3) = 1 and it holds that E(yj | x2) = -4.The variance of Y is equal to 24.16 and the correlation coefficient between X and Y is 1.It holds that E(xi | y2) = 0 and the expectation of Y is 1.2.X and Y are stochastically independent.

xi -4 -2 0 1 3

f(xi) 0.2 0.3 0.1 0.2 0.2

A second random variable is given by Y = 2X. Which of the following statements is true?The variance of X is equal to 6.04 and the covariance between X andY is 12.8.The conditional probabilities are f(y3 | x4) = 0, f(y3 | x3) = 1 and it holds that E(yj | x2) = -4.The variance of Y is equal to 24.16 and the correlation coefficient between X and Y is 1.It holds that E(xi | y2) = 0 and the expectation of Y is 1.2.X and Y are stochastically independent.

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