Two machines turn out all the products in a factory, with the first machine producing 65% of the product and the second 35%. The first machine produces defective products 5% of the time and the second machine 8% of the time. (a) What is the probability that a defective part is produced at this factory given that it was made on the first machine?   (b) What is the probability that a defective part is produced at this factory?

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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.