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Jun 09'24

Exercise

In Exercise, the probability distribution is completely determined by its first two moments. Show that this is always true for any probability distribution on [math]\{0,1,2\}[/math]. Hint: Given [math]\mu_1[/math] and [math]\mu_2[/math], find [math]h(z)[/math] as in Exercise and use [math]h(z)[/math] to determine [math]p[/math].