Math Problem Statement
Question content area top Part 1 A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 44 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 5000 aspirin tablets actually has a 2% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? Question content area bottom Part 1 The probability that this whole shipment will be accepted is enter your response here. (Round to four decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Sampling
Formulas
Binomial probability formula P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Theorems
Central Limit Theorem
Binomial Distribution Theorem
Suitable Grade Level
Grades 11-12
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