Question: (b) A probability density function gz(u, w) for a two dimensional random vector Z = (U, W) has the form kuzw gz (u, w) =

(b) A probability density function gz(u, w) for a two dimensional random vector Z = (U, W)" has the form kuzw gz (u, w) = u 20, w 2 0 and u+ w -1 0 otherwise where k is a positive constant. i. Find the value of k which makes gz (u, w) a probability density function. Your answer must include a sketch of the region of integration. ii. True or False: the variables U and W are independent. Briefly justify your

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