A three stage service process is defined as follows:

Stage

$1$

$2$

$3$

Process Coefficient of Variation $($cp$)$

$1$

$0\mathrm{.}7$

$0\mathrm{.}4$

Average Processing Time $($minutes$)$

$5$

$12$

$8$

Number of Workers

$3$

$5$

$4$

If $24$ customers arrive per hour with a ca of $0\mathrm{.}5,$ find the following performance characteristics of the system. What is the squared coefficient of variation of arrivals to stage $2$