Question

On an average 100 customers arrive at a place each hour, and on the average the server can process 120 customers per hour. What is the proportion of time the server is idle?

• A. 0.167

Answer 1

The correct option is A 0.167
$\lambda =100\text{customer per hour,}$

$\mu =120\text{customer per hour,}$

$\text{Probability when the server is idle,}$

$P_o=1-\rho =1-\frac{\lambda }{\mu }$

$P_o=1-\frac{\lambda }{\mu }=1-\frac{100}{120}=\frac{1}{6}=0.167$