A program contains $4$ types of instructions $-$ addition, subtraction, multiplication, and division. Addition takes $5$ clock cycles, subtraction also takes $8$ clock cycles, multiplication takes $10$ clock cycles, and division takes $15$ clock cycles. In this program, $20\%$ of the instructions are addition, $25\%$ of the instructions are subtraction, $25\%$ of the instructions are multiplication, and the rest of the instructions are division.

$1.$ What is the Clocks Per Instruction $($CPI$)?(3$ points$)$

$2.$ The program above takes $20$ seconds to run on a $2\mathrm{.}4$ GHz processor. How many instructions the program has? $(4$ points$)$