Answered: A pharmaceutical company receives large…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 39 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 4000 aspirin tablets actually has a 5% 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?

Using Excel, I came to 0.4130 - but this doesn't seem right. Please see attached image.

Function Arguments
? X
BINOM.DIST
Number s 1
= 1
Trials 39
= 39
Probability_s 0.05
= 0.05
Cumulative TRUE
= TRUE
= 0.41294765
Returns the individual term binomial distribution probability.
Number s is the number of successes in trials.
Formula result = 0.41294765
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Your answer is incorrect due to the rounding of decimal places.

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X~Binomial(n,p)

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