Assignment: There are three available products on a shopping website with exactly similar features and prices. The only difference in these options is of the user ratings. Each use can give either positive or negative rating. The rating of a product here is represented as $\%$ positive reviews $($#totalreviews$).$

Product $1$:

$96\%$ positive reviews $(50$ ratings$)$

Product $2$:

$95\%$ positive reviews $(200$ ratings$)$

Product $3$:

$95\%$ positive reviews $(1000$ ratings$)$

Q$1$: Which of these products is most likely to give user a better experience? $(10$ marks$)$

a$)$ There is a clear trade$-$off here in terms of no$.$ of reviews vs$.$ the percent positive rating. How do you navigate this trade$-$off to come to a conclusion?

b$)$ Can you rank these items in terms of the most to least likely to give a good user experience?