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Canned green beans are classified by the number of defects in a container. In order to have an A classification, no more than 2% of pieces in a container (a unit) can be blemished to be considered conforming. A production line is operating at 5% nonconforming output (e.g., 95% conforming). Every hour a sample of 20 units of product is taken and the number of nonconforming units is counted. The product is reclassified as B classification if on or more nonconforming unit is found.
a) What distribution is best applied to this situation? and why
b) What is the probability of zero nonconforming units?
c) What is the probability that the product will be reclassified to a B classification?
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