Question: There are two independent Bernoulli random variables, U and V , both with probability of success 1/2. Let X=U+V and Y =|UV|. 1) Calculate the

There are two independent Bernoulli random variables, U and V , both with probability of success 1/2. Let X=U+V and Y =|UV|.

1) Calculate the covariance of X and Y

2) Explain whether X and Y are independent or not

3) Identify the random variable expressed as the conditional expectation of Y given X, i.e., E[Y |X].

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