Let T and U be independent random variables with P(T = -1) = P(U = P(T...

 

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Let T and U be independent random variables with P(T = -1) = P(U = P(T = 1) = P(U = 1) = 0.2. Let V = T/U and W = T - U. = -1) == 0.8 and (a) Determine the joint distribution for V and W in the form of a table, showing working. [2 marks] (b) Determine the marginal distributions for V and W. [2 marks] (c) Determine the mean and variance of V and W. [2 marks] (d) Determine the covariance of V and W. [1 mark] (e) Determine whether V and W are independent. [1 mark] Let T and U be independent random variables with P(T = -1) = P(U = P(T = 1) = P(U = 1) = 0.2. Let V = T/U and W = T - U. = -1) == 0.8 and (a) Determine the joint distribution for V and W in the form of a table, showing working. [2 marks] (b) Determine the marginal distributions for V and W. [2 marks] (c) Determine the mean and variance of V and W. [2 marks] (d) Determine the covariance of V and W. [1 mark] (e) Determine whether V and W are independent. [1 mark]