In: Math
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, 32% contain one defective component, and 18% 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 |