Discrete Variables Classes

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Presentation transcript:

Discrete Variables Classes Defectives The presence of a non-conformity ruins the entire unit – the unit is defective Example – fuses with disconnects Defects The presence of one or more non-conformities may lower the value of the unit, but does NOT render the entire unit defective Example – paneling with scratches

Poisson Distribution Let X be the number of times that a certain event occurs per unit of length, area, volume, or time So: where x = 0, 1, 2, … Mean: Variance:

Poisson Distribution Example A sheet of 4’x8’ paneling (= 4608 in2) has 22 scratches. What is the expected number of scratches if checking only one square inch (randomly selected)? What is the probability of finding at least two scratches in 25 in2?