a$.$ What are the basic differences between deterministic seismic risk analyis and probabilistic seismic risk analysis. Explain the stages of a probabilistic seismic risk analysis $($Draw figures$).$

b$.$ For the seismic hazard curve given for a site, compute the probability of exceedance of PHA $=0\mathrm{.}15g$ in $30$ years.

c$.$ By using the same seismic hazard curve, compute the peak horiozontal acceleration corresponding to probability of exceedance of $\%10$ in $50$ years.