Thread: stats homework poisson and normal distribution

1. stats homework poisson and normal distribution

hey Im stuck on this question that my teacher set for homework. Its on the poisson and normal distribution. would be grateful for any help

question : given that X~Po(50) and P(X>x)< 0.05, use normal approximation with continuity correction to find minimum intergral value of x

thankyou

2. Originally Posted by elliegurl
hey Im stuck on this question that my teacher set for homework. Its on the poisson and normal distribution. would be grateful for any help

question : given that X~Po(50) and P(X>x)< 0.05, use normal approximation with continuity correction to find minimum intergral value of x

thankyou

The distribution of $\displaystyle X$ is approximately $\displaystyle N(50, 50)$ (that is normal with mean $\displaystyle 50$ and variance $\displaystyle 50$).

$\displaystyle Cu_X(x)\approx P\left(\frac{50-(x+1/2)}{\sqrt{50}}\right)$

Where $\displaystyle P$ is the cumulative standard normal

CB