A factory received a shipment of 34 lightbulbs, and the vendor who sold the items knows there are 8 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment.
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 factory received a shipment of 34 lightbulbs, and the vendor who sold the items knows there are 8 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment.
For each of the following, give your responses as reduced fractions.
If a sample of 8 lightbulbs is selected, find the probability that all in the sample are defective.
If a sample of 8 lightbulbs is selected, find the probability that none in the sample are defective.
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