When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 49 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 5000 ​batteries, and 3 ​% of them do not meet specifications. What is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected? a. The probability that this whole shipment will be accepted is ​(Round to four decimal places as​ needed.)   b. The company will accept ​%   ​(Round to two decimal places as​ needed.)   c. reject ​%  of the​ shipments ​(Round to two decimal places as​ needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 49 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 5000 ​batteries, and 3 ​% of them do not meet specifications. What is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected?

a. The probability that this whole shipment will be accepted is

​(Round to four decimal places as​ needed.)
 
b. The company will accept ​%
 
​(Round to two decimal places as​ needed.)
 
c. reject ​%  of the​ shipments
​(Round to two decimal places as​ needed.)
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