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 70%, 65%, and 75%, 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 (2nd page). 9. [10 points] The manufacturing of vinyl records has a three-step process, label prep, pressing, and trimming. The individual reliability of the three steps is 0.98, 0.99, and 0.95. b. a. What is the reliability of the vinyl record manufacturing process? Show calculations. After a revision of the manufacturing procedure, the reliability of the trimming step was increased to 0.97. The other reliability was unchanged. What is the new reliability of the process? Show calculations. c. What is the percent improvement in reliability after the revision? Show calculations.