In a printing shop, print requests arrive randomly and independently at an average rate of 20 per hour and are placed in a queue according to arrival times. Suppose that the time it takes to process each request is exponentially distributed and that the print times for different jobs are independent. A particular printer in this shop is capable of printing five pages per minute. The average request results in ten printed pages of poster. (i)There are currently five jobs in the queue – one active and four waiting to be processed. A new customer submit a job to this printer and it becomes the sixth job in the queue. Calculate the probability that he will have to wait more than 5 minutes for the printer to begin processing his job. Assume that the time between consecutive jobs in the queue is negligible. (ii) Name the alternative distribution of the random variable that you are considering in (i)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.