Statistics

Statistics

In a manufacturing facility that produces laptop computers, there are three production lines that operate independently of each other. On one line, circuit boards on the way to final assembly that do not meet quality standards get “kicked” off the line into a holding “waste” bin at a rate of 6 per half-hour. Since the time between arrivals is random, an exponential distribution can be applied with respect to the time between arrivals.

a. What is the probability the next circuit board that is kicked to the waste bin will occur in 3 minutes or more, 6 minutes or more, or 12 minutes or more?

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