The items produced on an assembly line are inspected, and each is classified as either conforming (acceptable), downgraded, or rejected. Overall, 70% of the items are conforming, 20% are downgraded, and 10% are rejected. Assume that four items are chosen independently and at random. Let X1, X2, X3 denote the numbers among the 4 that are conforming, downgraded, and rejected, respectively.
Question. • What is the distribution of X1, X2, X3? • What is the probability that 3 are conforming and 1 is rejected in a given sample?
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