Question

5. For a distribution in the (a, b, 0) class, p2 0.2048 and p3 0.0512. Furthermore, the mean of the distribution is 1. Determine pi.

please write legible

Answer 1

As, ${\displaystyle {\frac {p_{k}}{p_{k-1}}}=a+{\frac {b}{k}},\qquad k=1,2,3,\dots }$

For p₂ :

0.2408 / (0.2408 - 1) = a + b/2

For p₃:

0.0512/(0.0512-1) = a + b/3

Solving the above equations gives us : a = 0.4724 , b = -1.5792.

So p₁ = 0.5253