possible This question: 1 point(s) possible Submit quiz When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly sele and test 45 batteries and determine whether each is within specifications. The entire shipment is accepted if at $\mathrm{mo}$ 2 batteries do not meet specifications. A shipment contains 4000 batteries, and $2 \%$ 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?

Step 1 ：The problem is asking for the probability that a shipment will be accepted given that 2% of the batteries do not meet specifications. This is a binomial distribution problem where we are selecting 45 batteries and we want to know the probability that at most 2 of them do not meet specifications. The probability of a battery not meeting specifications is 0.02.

Step 2 ：Let's denote the number of batteries as \(n = 45\) and the probability of a battery not meeting specifications as \(p = 0.02\).

Step 3 ：Using these values, we can calculate the probability of the shipment being accepted.

Step 4 ：The calculated probability is approximately 0.939.

Step 5 ：Final Answer: The probability that this whole shipment will be accepted is approximately \(\boxed{0.939}\). This means that almost all such shipments will be accepted.