The problem involves determining the probability of having 3 or more defective sections of wire, given that the probability of one 3-foot section being defective is 0.002. The context is related to probability theory and statistical distributions.
The discussion is ongoing, with participants exploring different statistical models and interpretations of the problem. There is no explicit consensus, but several viable approaches have been suggested.
Participants note the ambiguity in the problem statement regarding the interpretation of the defect probability and the total number of sections derived from the length of wire.
cmb said:I'm getting the feeling that there isn't enough information here. I think the term "probability that one 3 foot section of wire is defective is 0.002" could be interpreted in a number of ways.
That's what I would try (making an independence assumption).glebovg said:Perhaps X~Bin(150, 0.002).
glebovg said:That is exactly what I think. At first I thought that X~Pois(λ) and that P(X=1)=0.002. But finding λ seems impossible and even the values you find do not make any sense.