Question 858875: A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 26 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted?
A) 0.9580 B) 0.0348 C) 0.1408 D) 0.5051
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A company purchases shipments of machine components and uses this acceptance sampling plan:
Randomly select and test 26 (this is "n") components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted?
-------------
Binomial Problem with n = 26 and p(accept) = 0.97
-------
P(x < 3) = binomcdf(26,0.03,2) = 0.9580
===============================================
Cheers,
Stan H.
===================================
A) 0.9580 B) 0.0348 C) 0.1408 D) 0.5051
|
|
|
