a. If the batch from which the components were selected actually contains two defective components, what is the probability that neither of these is selected for testing? b. What is the probability that the batch contains two de- fective components and that neither of these is selected for testing? c. What is the probability that neither component selected for testing is defective? (Hint: This could happen with any one of the three types of batches. A tree diagram might help.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Components of a certain type are shipped to a supplier in batches of 10. Suppose that 50% of all batches contain no defective components, 30% contain one defec- tive component, and 20% contain two defective compo- nents. A batch is selected at random. Two components from this batch are randomly selected and tested.
a. If the batch from which the components were selected actually contains two defective components, what is the
b. What is the probability that the batch contains two de- fective components and that neither of these is selected for testing?
c. What is the probability that neither component selected for testing is defective? (Hint: This could happen with any one of the three types of batches. A tree diagram might help.)
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