Inter-arrival times at a telephone booth are exponential, with an average time of 10 minutes. The length of a phone call is assumed to be exponentially distributed with a mean of 3 minutes. a. What is the probability that a person arriving at the booth will have to wait? b. What is the average queue length? c. What is the probability that it will take a person more than 10 minutes altogether, for the phone and to complete the call? d. Find means waiting time. e. Estimate the fraction of a day that the phone will be in use.

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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.