Given:

$$

$=$

$($

$$

$$

;

$$

$>=$

$0$

$)$

N$=($N

t

$$

;t$>=0)$ is a renewal process.

Waiting times

$$

$$

$$

Uniform

$($

$0$

$,$

$2$

$)$

X

j

$$

$$Uniform$(0,2).$

We need to compute

$$

$($

$$

$2$

$>=$

$3$

$)$

$=$

$1$

$$

$$

$($

$$

$2$

$<=$

$2$

$)$

P$($N

$2$

$$

$>=3)=1$P$($N

$2$

$$

$<=2).$