Question: 2. Consider the following joint probability density function of two random variables X and Y: 1 0.20 0.30 0.06 X 0 0.27 0.10 0.07

2. Consider the following joint probability density function of two random variables

2. Consider the following joint probability density function of two random variables X and Y: 1 0.20 0.30 0.06 X 0 0.27 0.10 0.07 fy (y) 0 Y 1 2 fx(x) where fy (y) is the marginal probability density function of the random variable Y and fx (r) is the marginal probability density function of the random variable X. (a) Find the marginal pdfs of X and Y. Calculate the E[X] and the E[Y]. (b) Find the conditional density function of Y given that X = 1 and the conditiona density function of Y given that X = 0. (c) What is the E[Y|X = 1]?

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