An online video store has 10000 titles In order to provide f

An online video store has 10,000 titles. In order to provide fast response, the store caches the most popular titles. How many titles should be in the cache so that with probability 99% an arriving video request will be in the cache?

Solution

Here the total number of titles is n=10000

and the probability of success is p=0.99,where p is the probability that arriving video request will be in the cache

Therefore the no of titles in the cache so that the probability will be 99%

is=10000*0.99=9900

An online video store has 10,000 titles. In order to provide fast response, the store caches the most popular titles. How many titles should be in the cache so

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