Chapter 8, Problem 8.11TE

(a)

To determine

To find: The binomial variable for $\mathrm{i}>\mathrm{n}\mathrm{p}$ .

(b)

To determine

To find: The binomial variable $\mathrm{P}\left\{\mathrm{X}\ge \mathrm{i}\right\}\le \frac{{\mathrm{n}}^{\mathrm{n}}}{{\mathrm{i}}^{\mathrm{i}}{\left(\mathrm{n}-\mathrm{i}\right)}^{\mathrm{n}-\mathrm{i}}}{\mathrm{p}}^{\mathrm{i}}{\left(1-\mathrm{p}\right)}^{\mathrm{n}-\mathrm{i}}$ .