document.write( "Question 1147826: 5.2 22/A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 42 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 4% 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? \n" ); document.write( "

Algebra.Com's Answer #769187 by VFBundy(438) $\"\"$ $\"About$

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Probability of exactly one defect in the sample: $\"%280.04%29%5E1+%2A+%280.96%29%5E41+%2A+%2842%21%2F%281%21%2A41%21%29%29\"$ = $\"0.04+%2A+0.1876+%2A+42\"$ = 0.3152
\n" ); document.write( "Probability of zero defects in the sample: $\"%280.96%29%5E42\"$ = 0.1800
\n" ); document.write( "Probability of one or zero defects in the sample: $\"0.3152+%2B+0.1800\"$ = 0.4952
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\n" ); document.write( "So, there is a 0.4952 probability this shipment will be accepted.
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\n" ); document.write( "About 49.52% of the shipments will be accepted. \n" ); document.write( "

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