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Problem 5A, Expected Value of 3 Sum of a Random Number of Random Variables The number of times per week that a production machine in an industrial plant has to be stopped, due to tool breakage, is random, with an expected value of 4. Each stoppage requires the replacement of some cutting tools, and the number of tools requiring replacement is random with an expected value of 2; it is also independent of the number of breakdowns, or the history of previous tool replacements. Find the eigpected number of tools replaced per week. Ans. 8 r\" week

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