Negative Binomial and Chi-square

[sam_0017]

can any one help me with this question :


http://www9.0zz0.com/2011/09/30/14/875098196.jpg

[Stephen Tashi]

I haven't looked at the problem closely. Is there some difficulty in solving the simultaneous equations for p and k ?

\bar{x} = \frac{ k(1-p)}{p}
s^2 = \frac{k(1-p)}{p^2} = \frac{\bar{x}}{p}