a$)$ Consider the data ingestion rate $(R_i)$ and data processing rate $(R_p)$ for two different scenarios given below. Discuss upon the feasibility of stream processing against each of these two cases:

$($i$)R_t=1\mathrm{.}4M\frac{B}{m}in,R_p=126M\frac{B}{h}r$

$($ii$)R_t=7M\frac{B}{sec,R_p}=21M\frac{B}{m}in$

The CPU of a movie streaming server has $L1$ cache reference of $0\mathrm{.}5ns$ and main memory reference of $100ns.$ The $L1$ cache hit during peak hours was found to be $23\%$ of the total memory references. $[$Marks: $4]$

$($a$)$ Calculate the cache hit ratio $h.$

$($b$)$ Find out the average time $($Tavg$)$ to access the memory.

$($c$)$ If the size of the cache memory is doubled, what will be the impact on $h$ and Tavg.

$($d$)$ If there is a total failure of the cache memory, calculate $h$ and Tavg.

The CPU of a movie streaming server has $L1$ cache reference of $0\mathrm{.}5ns$ and main memory reference of $100ns.$ The $L1$ cache hit during peak hours was found to be $23\%$ of the total memory references. $[$Marks: $4]$

$($a$)$ Calculate the cache hit ratio $h.$

$($b$)$ Find out the average time $($Tavg$)$ to access the memory.

$($c$)$ If the size of the cache memory is doubled, what will be the impact on $h$ and Tavg.

$($d$)$ If there is a total failure of the cache memory, calculate $h$ and Tavg.