When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 39 b

Question

2 years ago

11

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 39 b

atteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 6000 batteries, and 1% 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?

Mathematics

1 answer:

Ilia_Sergeevich [38] · Answer 1 · 2023-07-14T17:41:33+03:00

Ilia_Sergeevich [38]2 years ago

7 0

Answer:

This problem is solved using binomial probability,

I have solved this question on paper (Pictures Attached Here)

As per the answer, almost all shipment will be accepted.

As the probability is close to 1

When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 39 b

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 39 b