Thread: Sampling without replacement from a large population.

A sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defect.
The niko company has manufactured 2,500 cds and 50 are defective. If 4 of the CDs are selected and tested, what is the probability that the entire batch will be rejected?

Originally Posted by mikeizfreesh

A sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defect.
The niko company has manufactured 2,500 cds and 50 are defective. If 4 of the CDs are selected and tested, what is the probability that the entire batch will be rejected?

You can use the binomial distribution as an approximation (why?)

Then X ~ Binomial(n = 4, p = 50/2500) and you need to calculate Pr(X > 0).