For any RV $x$ with define

${}_3=\frac{{}_3}{({}_2{)}^{\frac{3}{2}}},{}_4=\frac{{}_4}{{}_2^2}.$

Here ${}_3$ is known as the coefficient of skewness and is sometimes used as a

measure of asymmetry, and ${}_4$ is known as kurtosis and is used to measure the

peakedness $("$flatness of the top"$)$ of a distribution. Compute ${}_3$ and ${}_4$ for the

PMFs of Problems $8$ and $9.$

Calculate ${}_3,$ y $,{}_4$ for the binomial distribution

$Pr(x=x)=e^{-}*\frac{{}^x}{x!},x=0,1,2,$dots;$>0Pr(x=k)=([n],[k])p^k(1-p{)}^{n-k},k=1,2,$dots,$n$;$0$

And the Poisson distribution

$Pr(x=x)=e^{-}*\frac{{}^x}{x!},x=0,1,2,$dots;$>0$