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Question 1: You are the lead production engineer for a manufacture that produces four large components...

Question 1: You are the lead production engineer for a manufacture that produces four large components for the aerospace industry, referred to as components 3, 6, 7, and 9. Given the size and unique nature of these components, you only can produce four parts a day. Your job is to schedule each day’s production. How many different schedules (the sequence of the schedule is important, see example schedules below) are possible that result in components 6 and 7 both being produced at least twice? Example Schedule 1: 6, 3, 7, 9 Example Schedule 2: 7, 9, 6, 3

Question 3: In your company, there is a manufacturing process that produces a part that inspectors grade as as either 1) Excellent, 2) Fair, or 3) Poor. The probabilities that a part is graded as excellent, fair, and poor are 1/8, 3/8, and 1/2; respectively. A new inspector, Steve, has just started working for your company. After performing three inspections, what is the probability that Steve grades an excellent part before a poor part?

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