Math Problem Statement
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 2020 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 22% rate of defects, what is the probability that this whole shipment will be accepted? Question content area bottom Part 1 The probability that this whole shipment will be accepted is enter your response here. (Round to three decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Formulas
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
P(acceptance) = P(X = 0) + P(X = 1)
Theorems
Binomial Probability Theorem
Suitable Grade Level
Undergraduate or Advanced High School
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