Solve all parts

5. A search engine works only on a single server. It receives, on average, 25000 search requests per minute from the users. On average, the server takes about 0.002 seconds to process a search request. The number of search requests received by the server follows a Poisson process and the search request processing time of the server follows exponential distribution. For this MINI/1 queue system, calculate- a. The fraction of a day that the server will remain busy. [2] b. The probability that, a user's total response time (time duration between sending search request and receiving the search results) will be more than 2 seconds. [2] c. Find the average number of search requests in the queue at any time. [2]