Finding Binomial Probabilities A pharmaceutical company receives large shipments of ibuprofen tablets and uses sampling plan to accept the shipmemts. They randomly select and test 25 tablets, and accept the entire batch if there is at most one tablet that does not meet the required specifications. Suppose a particular shipment of ibuprofen tablets has a 10% rate of defects. What is the probability that this whole shipment will be accepted? Round your answer to 3 decimal places.
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.
Finding Binomial Probabilities
A pharmaceutical company receives large shipments of ibuprofen tablets and uses sampling plan to accept the shipmemts. They randomly select and test 25 tablets, and accept the entire batch if there is at most one tablet that does not meet the required specifications.
Suppose a particular shipment of ibuprofen tablets has a 10% rate of defects. What is the
Round your answer to 3 decimal places.
Given n =25 and p =0.1
X ~ B(n, p)
P ( whole shipment will be accepted) = P(X=0) +P(X=1)
=
= 0.271
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