Question: 5. [10 points] A face mask has three layers, each with different material. Each material can filter the particles, such as dust particles and bacteria.

5. [10 points] A face mask has three layers, each with different material. Each material can filter the particles, such as dust particles and bacteria. The mask can filter a particle if any one of the three particles can filter the particles. The reliability (ability to filter the smallest particles) of the layers are 67%, 65%, and 63%, respectively. What is the overall reliability of the face mask? Your answer should show all the calculations and answer should be presented as described in the Question/ answer examples (1st page).

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