C$.$ A search engine has a corpus of size $100$ documents. For a query $Q$ there are $10$ relevant

documents in the entire corpus. The search engine$($A$)$ retrieves $6$ documents which are ranked

as $R,NR,NR,R,NR,R$ where $R$ indicates relevant and NR indicates non$-$relevant.

i$.$ Compute precision and recall at rank $4.$

$2+2+3=7M$

ii$.$ Another search engine$($B$)$ for the same query $Q$ has returned the same $6$ documents which

are ranked as $[$NR$,$NR$,$NR$,$R$,$R$,$R$].$ Which search engine's results would you consider to be

better and why?

iii. A single search engine has returned the following results for two different queries Q$1$

$R,NR,NR,R,NR,R$ and Q$2[$R$,$R$,$NR$,$NR$,$R$,$NR$].$ Compute the Mean Average Precision

assuming that the number of relevant documents for Q$1$ is $5$ and Q$2$ was $8.$