You are involved with managing a factory that produces fabric in long rolls. Every so often the machine will introduce a defect into the fabric laying process - you want to know if the distribution of these defects over some fixed length of fabric is well described by a Poisson distribution.

1.  The machine is known to get less reliable as it gets closer to the time for it to be serviced. Do you think the Poisson would be a good model, what assumption might be violated?

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To determine whether the distribution of defects in the fabric production process can be well described by a Poisson distribution we need to consider ... View the full answer