[Step-by-Step] Calculate the method of moments estimate for the parameter θ in the probability function p_X(k;θ)=theta ^k(1-θ)^1-k, k=0,1
Question: Calculate the method of moments estimate for the parameter \(\theta \) in the probability function
\[{{p}_{X}}\left( k;\theta \right)={{\theta }^{k}}{{\left( 1-\theta \right)}^{1-k}},\,\,\,\,k=0,1\]if a sample of size 5 is the set of numbers 0, 0, 1, 0, 1.
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