Question 1

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan:

Randomly select and test **55** 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 **7000** 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??