Write down the number average, weight average mol wt$.$ for continuous mol.

Wt$.$ distribution. The Schultz$-$Zimm molecular weight distribution function can

be written as

$W(M)=\frac{a^{b+1}}{(b+1)}{M}^b$exp$(-aM)$

Where a and $b$ are adjustable parameters $(b$ is positive real number$)$ and $$ is the

gamma function which is used to normalized the weight fraction. Calculate

$M_n$ and $\frac{?}{\text{b}\text{a}\text{r}}(M{)}_w$ in terms of a and $b.$ The gamma function can be defined as

$(z),-=,{\displaystyle \underset{0}{\overset{}{}}}{t}^{2-1}{e}^{-t}dt=(z-1)!$