(Answered) Question many manufacturers have quality control programs

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Question: Many manufacturers have quality control programs that includeinspection of incoming materials for defects. Suppose that a computermanufacturer receives computer boards in lots of five. Two boards are randomlyselected without replacement from each lot for inspection. We canrepresent possible outcomes of the selection process by pairs. For example,the pair (1,2) represents the selection of boards 1 and 2 for inspection regardlessof the order of selection. Define r.v. X to be the number of defectiveboards observed among the two inspected.

(a) By listing the ten different possible outcomes, find theprobability distribution of X assuming that boards 1 and 2 are theonly defective boards in a lot of five.

(b) Calculate µX and σX.

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