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
Binomial Distribution Sequence of n trials Outcome of each trial is “success” or “failure” Probability of success = p r.v. X - number of successes in n trials So: where Mean: Variance:
Binomial Distribution Example A lot of size 30 contains three defective fuses. What is the probability that a sample of five fuses selected at random contains exactly one defective fuse? What is the probability that it contains one or more defectives?