In: Math
Consider the random experiment of tossing two fair dice and recording the up faces. Let X be the sum of the two dice, and let Y be the absolute value of the difference of the two dice.
1.Compute the skewness coefficient and kurtosis of the distribution of X and Y.
2. For each of x=4,5,6 from the sample space of X do the following:
Construct the pff of the conditional distribution of X given Y = y
Compute the mean variance SD skewness coefficient snd kurtosis of the conditional distribution of Y given X = x. Are they distributional characteristics constant, or do they depend upon x?
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You
can clearly see all distributional characteristics are
constant..