A retail distribution center ships out boxes and claims that their products may be 3% defective. A truck company, when shipping out 5,000 boxes, applies the following sampling plan. They randomly select 10 boxes and then accept the whole shipment if less than 3 of those boxes are defective. What is the probability that the truck company will accept the boxes? If the company accepts the whole batch of 5000 boxes, what are the expected number of defectives?
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.
A retail distribution center ships out boxes and claims that their products may be 3% defective. A truck company, when shipping out 5,000 boxes, applies the following sampling plan. They randomly select 10 boxes and then accept the whole shipment if less than 3 of those boxes are defective.
What is the probability that the truck company will accept the boxes?
If the company accepts the whole batch of 5000 boxes, what are the expected number of defectives?
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