Solutions - 5110-04

(1) Define random variable:

Let $X\sim \text{Geom}(0.05)$.

We wish to find $P[5\le X\le 10]$.

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(2) Compute $P[5\le X\le 10]$:

$$\begin{array}{c}P[5\le X\le 10]=\sum _{k=5}^{10}0.05{(0.95)}^{k-1}\\ \\ \gg \gg \approx 0.2158\end{array}$$