Amachine is used to manufacture certain items, one at a time. Manufacturing time for one item is random, well described with normal distribution with average 17.7 minutes and standard deviation 1.5 minutes. The machine works autonomously, but requires occasional manual calibration. Suppose that manual calibration may be required after finishing an item with probability 46.9% independently of any other items. Find the standard deviation for the time between two consecutive calibrations.

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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.