$)$ Profiling programs shows that, in general, true data dependencies occur in $30\%$ of the instructions, name dependencies occur in $5\%$ of the instructions, and control dependencies occur in $20\%$ of the instructions. In general $100\%$ of the control dependencies turn into hazards $($with a $3$ cycle delay$),75\%$ of the true data dependencies turn into hazards $($with a $2$ cycle delay$),$ and $100\%$ of the name dependencies turn into hazards $($with a $2$ cycle delay$).$ Assume that structural hazards occur in $1\%$ of all executed instructions $($with a $5$ cycle delay$).$ Compute the expected speedup of a synchronous pipelined machine design for programs executed with the above characteristics.