Assume that for a given program:

$70\%$ of the executed instructions are arithmetic

$10\%$ of the executed instructions are load$/$store

$20\%$ of the executed instructions are branch

Given this instruction mix and the assumption that

an arithmetic instruction requires $2$ cycles

a load$/$store instruction takes $6$ cycles

a branch instruction takes $3$ cycles

Find the average Cycles per Instruction $($CPI$).$

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Find the average Cycles per Instruction $($CPI$).(4$ points$)$