Q5. In the manufacture of a fiber-reinforced laminated composite material, the f

Question

Q5. In the manufacture of a fiber-reinforced laminated composite material, the following probabilities can be associated with the failure of the components made out of this material: In a batch of composite material manufactured, 10% of material is found to have High defects, 30% to Medium level defects and 60% to Low level of defects. For a component using this batch of material, indicate the various events associated with the failure of component as a Tree diagram. Also, determine the probability that the component fails.

Explanation / Answer

Tree diagram

Composite material         10% high defects -- 0.2 failure of components

                                      30% medium def -- 0.05 failure of components

                                      60% medium def -- 0.01 failure of components

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