Assume that machine A is a $5-$stage pipeline with $1$ns clock cycle, and machine B is a $10-$stage pipeline with $0\mathrm{.}6$ns clock cycle. The machine A experiences a stall due to a data hazard every $5$ instruc$($ons$,$ and the machine B experiences $3$ stalls every $8$ instruc$($ons$.$ Also, branches cons$($tute $30\%$ of the instruc$($ons$,$ and the mispredic$($on rate for both machines is $5\%.$ a$)$ Which machine is faster, and by how much, when only considering data hazards? b$)$ If the branch mispredic$($on penalty for machine A and B is $2$ and $5$ cycles respec$($vely$,$ what are the CPIs of each machine?