When purchasing bulk orders of batteries, a toy manufacturer uses this acceptanc

Question

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 52 batteries and determine whether each is within specifications. The re shipment is accepted if at most 2 batteres do not meet specifications. A shipment contains 6000 batter es, and 2% of them do not meet specifications. What is the pro abity that this wh shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.) % of the shipments, so The company will accept % of the shipments and will reject Round to two decimal places as needed.)

Explanation / Answer

Ans:

Binomial distribution:

a)Probability that the shipment will be accepted=P(k<=2)=BINOMDIST(2,52,0.02,TRUE)=0.9141

b)91.41% of the shipments will be accepted and 8.59% will be rejected.

For,Ti-84 calculator use binomcdf command as given below:

P(c<=2)=binomcdf(52,0.02,2)

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