In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The joint probability mass function of X and Y is given in the table below: У х 0.15 0.12 0.11 0.10 0.09 0.07 0.05 0.04 2 0.06 0.05 0.04 0.02 0.02 3 0.04 0.03 0.01 The total number of assemblies that fail to meet specifications is X + Y. Find µx+Y• a. b. Find Ox+Y• Find P(X + Y = 3). C.
In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The joint probability mass function of X and Y is given in the table below: У х 0.15 0.12 0.11 0.10 0.09 0.07 0.05 0.04 2 0.06 0.05 0.04 0.02 0.02 3 0.04 0.03 0.01 The total number of assemblies that fail to meet specifications is X + Y. Find µx+Y• a. b. Find Ox+Y• Find P(X + Y = 3). C.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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