A factory received a shipment of 14 flanges, and the vendor who sold the items knows there are 8 flanges in the shipment that are defective and 6 are not defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the flanges in the sample are defective, he will refuse the shipment. Give answer as a decimal to four decimal places. (a) If a sample of 6 flanges is selected, find the probability that all in the sample are defective. (b) If a sample of 6 flanges is selected, find the probability that 4 in the sample are defective. (c) If a sample of 5 flanges is selected, find the probability that 1 in the sample are defective.
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 14 flanges, and the vendor who sold the items knows there are 8 flanges in the shipment that are defective and 6 are not defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the flanges in the sample are defective, he will refuse the shipment. Give answer as a decimal to four decimal places.
(a) If a sample of 6 flanges is selected, find the
(b) If a sample of 6 flanges is selected, find the probability that 4 in the sample are defective.
(c) If a sample of 5 flanges is selected, find the probability that 1 in the sample are defective.
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