Problem $1.$ Short Answers, $5$ points each, $20$ points total

$1)$ Explain why a CPU with a higher clock rate may not always execute programs faster than

a CPU with a lower clock rate.

$2)$ Explain Amdahl$$s law using an example.

$3)$ Explain how the choice of compiler can affect the CPI of a program.

$4)$ Explain if the choice of programming language does affect the clock cycle time of a

CPU.

$5)$ Explain how the choice of algorithm may affect the CPI of a program.