Math Problem Statement

pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 52 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 7000 aspirin tablets actually has a 3% 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? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.)

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution
Acceptance Sampling

Formulas

Binomial probability formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Cumulative probability: P(X ≤ 1) = P(X = 0) + P(X = 1)

Theorems

Binomial Theorem

Suitable Grade Level

Undergraduate (Statistics or Probability course)