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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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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Transcribed Image Text: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 Help on this function OK Cancel
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X~Binomial(n,p)

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