The joint cumulative density function of the random variables X and Y is given by:...

geoffery mumali

geoffery mumali

2022-11-29

The joint cumulative density function of the random variables X and Y is given by:

            

            Find the:

            (i)        Joint probability density function of the random variables X

 and Y.                                                                                                       [3 marks]

            (ii)       Marginal density function of X                                                             [3 marks]

            (iii)      Marginal density function of Y                                                             [3 marks]

            (iv)      Conditional density function of X given Y = y.                                  [2 marks]

            (v)       Conditional density function of Y given X = x.                                  [2 marks]

            (vi)      Are X and Y independent?                                                                    [2 marks]

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