he quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the batch. Suppose the batch contains 5% defective syringes. (a) Make a histogram show
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.
The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the batch. Suppose the batch contains 5% defective syringes.
(a)
Make a histogram showing the probabilities of r = 0, 1, 2, 3, …, 11and 12 defective syringes in a random sample of twelve syringes.(Select the correct graph.)(b)
Find μ (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.)μ = syringes
What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.)
syringes
(c)
What is the(d)
Find σ (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)
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