In: Statistics and Probability
Components of a certain type are shipped to a supplier in batches of ten. Suppose that 52% of all such batches contain no defective components, 31% contain one defective component, and 17% 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 each of the following conditions? (Round your answers to four decimal places.)
(a) Neither tested component is defective.
no defective components :
one defective component :
two defective components :
(b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.]
no defective components :
one defective component :
two defective components :