Show that the distribution of a random variable \(X\) with possible values of 0,1 and 2 is determined by \(\mu_1=\mathbf{E}(X)\) and \(\mu_2=\mathbf{E}(X^2)\), by finding a formula for \(\mathbf{P}(X=x)\) in terms of \(\mu_1\) and \(\mu_2\).
[Pitman p. 184. #20]
