A shipment of pins contains 25 good ones and 2 defective ones. At the receiving department, an inspector picks three pins at random and tests them. If any defective pin is found among the three that are tested, the shipment would be rejected. a. What is the probability that the shipment would be accepted? b. To increase the probability of acceptance to at least 90%, it is decided to do one of the following: i. Add some good pins to the shipment. ii. Remove some defective pins in the shipment. For each of the two options, find out exactly how many pins should be added or removed.
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 shipment of pins contains 25 good ones and 2 defective ones. At the receiving department, an inspector picks three pins at random and tests them. If any defective pin is found among the three that are tested, the shipment would be rejected. a. What is the probability that the shipment would be accepted? b. To increase the probability of acceptance to at least 90%, it is decided to do one of the following: i. Add some good pins to the shipment. ii. Remove some defective pins in the shipment. For each of the two options, find out exactly how many pins should be added or removed.
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