Make a histogram showing the probabilities of  r = 0, 1, 2, 3, ..... 8 and 9 defective syringes in a random sample of nine syringes. Recall that the binomial distribution with parameters n, p, and r gives the probability distribution of the number of r successes in a sequence of n trials, each of which yields success with probability p. Here we can let "success" be defined as "finding a defective syringe." The batch contains 5% defective syringes, so there is a 5% chance that any given syringe will be found to be defective. Therefore, p = ___ . A random sample of nine syringes are checked for quality, so n =____  .

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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.