Assume Program $1$ and Program $2$ running on the same computer to solve the same problem. The following table shows the CPI $($clocks per instruction$)$ and IC $($instruction count$)$ of Program $1$ and Program $2$ for four instruction types $A,B,$ and $C.$

$\backslash$table$[[$Instruction Type,Type A$,$Type B$,$Type C$],[$CPI for Instr. Type,$3,4,5],[$IC in Program $1,10,20,20],[$IC in Program $2,5,x=30,15]]$

$($a$)8\%$ Calculate the average CPI for Program. Give your derivation.

$($b$)[8\%]$ Assume Program $2$ has the same execution time as Program $1$ What is $x$ in the table? Give your calculation.