Components of a certain type are shipped to a supplier in batches of 10. Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components. 30% contain one defective component, and 20% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under the condition that neither tested component is defective.

Answer:- Binomial Coefficient (nk)=n!k!(n−k)!

Conditional Probability, P(β|δ)=P(β⋂δ)P(δ)

If:

the event that there are 0

defective components = β0, then probability that the batch contains 0 defective components = P(β0)=0.48


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