a$)$ Consider a Hard Disk Drive $($HDD$)$ that rotates witha speed of $15000$ RPM and having average seek time of $10$ milli secs$.$ The data transfer rate supported by the disk is $\backslash (40\backslash$mathrm$\{$Mbyte$\}/\backslash$mathrm$\{$sec$\}\backslash ).$ Compute the IOPS rating for the disk for I$/$O block size of $32$ Kbyte $.$

$[3$M$]$

b$)$ Consider two HDDs rated as $100$ IOPS and $200$ IOPS respectively. What is your take on the comparative performance for the disks? Briefly explains. $[2$M$]$